IdeaWazaWiki - User contributions [en]

Textile engineering

2007-08-18T05:17:17Z

155.97.235.38: /* Learning materials */

__NOTOC__
Welcome to the department of textile engineering!

Textile engineering (TE) or textile technology deals with the application of scientific and engineering principles to the design and control of all aspects of fiber, textile, and apparel processes, products, and machinery. These include natural and man-made materials, interaction of materials with machines, safety and health, energy conservation, and waste and pollution control. Additionally, textile engineers are given training and experience in plant design and layout, machine and wet process design and improvement, and designing and creating textile products.

A textile engineer therefore works with textile materials: fibres, yarns, fabrics, and finishes. Most textile engineers work on product research and development, either improving current textile based products or creating new products. They may also be involved with finding uses for new fibres, yarns, fabrics, or textile finishes.

== Divisions ==
[[Topic:Textile Engineering/Technology_and_Textile_Chemistry|Textile technology and textile chemistry]]

== Learning materials ==
=== Courses ===
* [[Textile Engineering Systems]]
* [[Textile Engineering Design]]
* [[Mechanics of Fibrous Structures]]
* [[Textile Engineering Quality Improvement]]
* [[Textile Information Systems Design]]
* [[Polymer Engineering]]
* [[Polymeric Biomaterials Engineering]]
* [[Fabric Manufacturing]]
* [[Special Topics in Textile Engineering]]
* [[Fabric Production Systems]]
* [[Textile Composites]]
* [[Polymeric Biomaterials Engineering]]
* [[Industrial Textiles]]
* [[Textile Applications in Medicine]]
* [[Engineering Economics]]
* [[Basic Electronics of Textile Manufacturing]]
* [[Textile Quality Testing Machinery]]
* [[Dyeing]]
* [[Textile Coloration]]
* [[Industrial Planning and Organization]]
* [[Thermodynamics]]
* [[Materials Science]]
* [[Industrial Management]]
* [[Applied Mechanics]]
* [[Engineering Drawing and Design]]
* [[Novel Topics in Textile Engineering]]

== Research and Learning Projects ==

== Collaborators ==
* ...
* ...
* ...

== External Links ==
[[Category:Engineering]]
[[Category:Nanotechnology]]
[[Category:Chemistry]]

Nonlinear finite elements

2007-08-14T04:01:54Z

155.97.235.38: /* Syllabus and Learning Materials */

Welcome to this learning project about '''{{PAGENAME}}'''!

==Learning Project Summary==
* '''Project code:'''
* '''Suggested Prerequisites:'''
** [[Linear algebra]]
** [[Partial differential equations]]
** [[Introduction to finite elements]]
** [[Continuum mechanics]]
* '''Time investment:''' 6 months
* '''Assessment suggestions:'''
* '''[[Wikiversity:Major portals|Portal]]:[[Portal:Engineering and Technology|Engineering and Technology]]'''
* '''[[Wikiversity:Schools|School]]:[[School:Engineering|Engineering]]'''
* '''Department:[[Topic:Mechanical engineering|Mechanical engineering]]'''
* '''Stream'''
* '''Level: First year graduate'''

==Content summary==
This is an introductory course on nonlinear finite element analysis of solid mechanics and heat transfer problems. Nonlinearities can be caused by changes in geometry or be due to nonlinear material behavior. Both types of nonlinearities are covered in this course.

==Goals==
This learning project aims to.
* provide the mathematical foundations of the finite element formulation for engineering applications (solids, heat, fluids).
* expose students to some of the recent trends and research areas in finite elements.

Here's a short quiz to help you find out what you need to brush up on before you dig into the course:
*[[Nonlinear finite elements/Quiz0|Assessment Quiz]]

==Contents==

=== Syllabus and Learning Materials ===

#Mathematical Preliminaries
## [[/Sets|Set notation]]
## [[/Functions|Functions]]
## [[/Vectors|Vectors]]
## [[/Matrices|Matrices]]
## [[/Tensors|Tensors]]
## [[/Partial differential equations|Partial differential equations]]
## [[/Calculus of variations|Variational calculus]]
#Finite element basics
## [[/Axially loaded bar|An example: Axially loaded bar]]
##* [[/Axial bar strong form|Strong form: governing differential equation]]
##* [[/Axial bar weak form|Weak form: integral equation]]
##* [[/Axial bar approximate solution| Approximate solution: Galerkin method]]
##* [[/Axial bar finite element solution| Approximate solution: Finite element method]]
## [[/Model problems|More examples: Some model problems]]
##* [[/Weighted residual methods|Weak form: Weighted residual methods]]
##* [[/Choosing weight function|Choosing a weight function]]
##* [[/Bubnov Galerkin method|Bubnov Galerkin methods]]
##* [[/Finite element basis functions|Finite element basis functions]]
##* [[/Model finite element approximation|Example of a finite element approximation]]
## Weak form of PDEs
## Linear time-dependent heat equation
## Finite element basis functions
## Time integration.
#Nonlinear finite element basics
## Nonlinear heat equation - one dimension
## Basic nonlinear continuum mechanics of solids
## Total and updated Lagrangian approaches.
#Nonlinear deformation of beams
#Nonlinear deformation of plates and shells
## Basic linear plate and shell elements
## Nonlinear plates and shells
## Time-dependent deformation of shells
#Nonlinear material behaviors
## Material nonlinearities
## Objective rates
## Nonlinear Elasticity
## Plasticity
## Viscoplasticity
## Viscoelasticity.
#Verification and Validation.

===Readings and other resources===
{{Sisterprojectsearch}}

''' Textbooks'''
* [http://books.google.com/books?id=UaPS5_5vdyUC&pg=PP1&ots=swwXWjzzU9&dq=An+Introduction+to+Nonlinear+Finite+Element+Analysis&sig=es9-LASwGNYTzePySvQsA6Jf3MU An Introduction to Nonlinear Finite Element Analysis] by J. N. Reddy, Oxford University Press, 2004, ISBN 019852529X.
* [http://books.google.com/books?id=ydYEAAAACAAJ&dq=Nonlinear+Finite+Elements+for+Continua+and+Structures Nonlinear Finite Elements for Continua and Structures] by T. Belytschko, W. K. Liu, and B. Moran, John Wiley and Sons, 2000.
* [http://books.google.com/books?id=ftL2AJL8OPYC&pg=PP1&ots=32nr-XGXw1&dq=Computational+Inelasticity&sig=wJ_8caCfdM1k0BblUGbtNPuEKJI Computational Inelasticity] by J. C. Simo and T. J. R. Hughes, Springer, 1998.
* [http://books.google.com/books?id=yarmSc7ULRsC&pg=PP1&ots=48xUoRUEj7&dq=The+Finite+Element+Method:+Linear+Static+and+Dynamic+Finite+Element+Analysis&sig=QLHLMdZKlfAdhPkQRsKcLfL8jFk The Finite Element Method: Linear Static and Dynamic Finite Element Analysis] by T. J. R. Hughes, Dover Publications, 2000.

'''References'''

* '''Finite Element Analysis''':
** K-J. Bathe (1996), [http://books.google.com/books?id=buMbAAAACAAJ&dq=Finite+Element+Procedures Finite Element Procedures], Prentice-Hall. ''Useful repository of information on nonlinear finite elements.''
** J. N. Reddy (1993), [http://books.google.com/books?id=QD1xAQAACAAJ&dq=An+Introduction+to+the+Finite+Element+Method An Introduction to the Finite Element Method], McGraw-Hill. ''This book is referred to a number of times in one of the texts.''
** O. C. Zienkiewicz and R. L. Taylor (2000), [http://books.google.com/books?id=wmDQ_3qzvmIC&pg=PP19&ots=LWZ-8vetGO&dq=The+Finite+Element+Method:+Volume+2+Solid+Mechanics&sig=ywpfBmPXhKy1yDLhHA0kDrBVI18 The Finite Element Method: Volume 2 Solid Mechanics], Butterworth-Heinemann. ''Another excellent repository of information of nonlinear finite elements geared toward the Civil Engineers.''
* '''Continuum Mechanics''':
** R. M. Brannon (2004), [http://www.mech.utah.edu/~brannon/Deformation.pdf Large Deformation Kinematics.] ''An excellent introduction to kinematics.''
** R. M. Brannon (2004), [http://www.mech.utah.edu/~brannon/rotation.pdf Rotation.] ''Almost everything you ever wanted to know about rotations.''
** A.J.M Spencer (2004), [http://books.google.com/books?id=AJdfQL0rgrgC&pg=PP1&ots=6bP8zrIt6z&dq=Continuum+Mechanics&sig=PQWngIZre1NjQRABOxvdZP80gXM Continuum Mechanics], Dover Publications. ''An excellent introduction to continuum mechanics. You should own a copy for your personal library.''
** L.E. Malvern (1969), [http://books.google.com/books?id=NbtfAAAACAAJ&dq=Introduction+to+the+Mechanics+of+a+Continuous+Medium Introduction to the Mechanics of a Continuous Medium], Prentice-Hall. '' A good reference for continuum mechanics.''
* '''Mathematics''':
** R. M. Brannon (2004), [http://www.mech.utah.edu/~brannon/Tensors.pdf Elementary Vector and Tensor Analysis for Engineers.] ''This free online book is the best introduction I have seen for vector and tensor analysis for nonlinear mechanics.''
** R. M. Brannon (2004), [http://www.me.unm.edu/~rmbrann/curvilinear.pdf Curvilinear Coordinates.] '' Very useful if you wish to follow the literature on the nonlinear deformation of shells.
** B. Daya Reddy (1998), [http://books.google.com/books?id=aAVzpzQdJc8C&pg=PP1&ots=ihO_OKxw64&dq=Introductory+Functional+Analysis:+With+applications+to+boundary+value+problems+and+finite+elements&sig=dc2lxvX4sYcRUKoPAnobzpSKl6Y Introductory Functional Analysis: With applications to boundary value problems and finite elements.] , Springer-Verlag. '' Excellent book for engineers who want to understand the terminology used in the finite element literature and how error analysis is done.''
** A.P.S. Selvadurai (2000), [http://books.google.com/books?id=diMcAdSClSoC&pg=PP1&ots=LcgQc5F_R-&dq=Partial+Differential+Equations+in+Mechanics&sig=jC5anykazA-czGeAWNAAGFMJ8n8 Partial Differential Equations in Mechanics 1,2.] Springer. ''Excellent introductory text on partial differential equations with engineers in mind.''

'''Reading List'''

Each project/lesson/activity may have a suggested reading selection, eg:

* '''Wikipedia article:'''
* '''Wikibooks textbook:'''
* etc.

===Lessons===
* Lesson 1: ...

===Activities===
*Activity 1.
*etc.

===Assignments===

===Tests and Quizzes===
*Quiz 1
*Quiz 2
*Test 1
*etc.

==Subpages==
Subpages can be created - like [[/concepts]] (for concepts involved in this learning project)

==Active participants==
Active participants in this [[Portal:Learning Projects#Learning Groups|Learning Group]]
* ...

{| width="100%" style="background:#FFFCCF; border:1px solid #DAA520"
|
==[[Portal:Learning Materials|Learning materials]]==
Learning materials and [[Portal:Learning Projects|learning projects]] are located in the main Wikiversity namespace. Simply make a [[link]] to the name of the lesson (lessons are independent pages in the [[Wikiversity:Namespaces|main namespace]]) and start writing!

You should also read about the [[Portal:Education/Wikiversity model|Wikiversity:Learning model]]. Lessons should center on learning activities for Wikiversity participants. Learning materials and learning projects can be used by multiple projects - and you are encouraged to cooperate with other departments that use the same learning resource.

|}

[[Category:Finite element analysis]]
[[Category:Computational solid mechanics]]
[[Category:Computational mechanics]]
[[Category:Solid mechanics]]
[[Category:Applied mechanics]]
[[Category:Mechanical engineering]]
[[Category:Civil engineering]]

Nonlinear finite elements

2007-08-13T00:07:30Z

155.97.235.38: /* Syllabus and Learning Materials */

Welcome to this learning project about '''{{PAGENAME}}'''!

==Learning Project Summary==
* '''Project code:'''
* '''Suggested Prerequisites:'''
** [[Linear algebra]]
** [[Partial differential equations]]
** [[Introduction to finite elements]]
** [[Continuum mechanics]]
* '''Time investment:''' 6 months
* '''Assessment suggestions:'''
* '''[[Wikiversity:Major portals|Portal]]:[[Portal:Engineering and Technology|Engineering and Technology]]'''
* '''[[Wikiversity:Schools|School]]:[[School:Engineering|Engineering]]'''
* '''Department:[[Topic:Mechanical engineering|Mechanical engineering]]'''
* '''Stream'''
* '''Level: First year graduate'''

==Content summary==
This is an introductory course on nonlinear finite element analysis of solid mechanics and heat transfer problems. Nonlinearities can be caused by changes in geometry or be due to nonlinear material behavior. Both types of nonlinearities are covered in this course.

==Goals==
This learning project aims to.
* provide the mathematical foundations of the finite element formulation for engineering applications (solids, heat, fluids).
* expose students to some of the recent trends and research areas in finite elements.

Here's a short quiz to help you find out what you need to brush up on before you dig into the course:
*[[Nonlinear finite elements/Quiz0|Assessment Quiz]]

==Contents==

=== Syllabus and Learning Materials ===

#Mathematical Preliminaries
## [[/Sets|Set notation]]
## [[/Functions|Functions]]
## [[/Vectors|Vectors]]
## [[/Matrices|Matrices]]
## [[/Tensors|Tensors]]
## [[/Partial differential equations|Partial differential equations]]
## [[/Calculus of variations|Variational calculus]]
#Finite element basics
## [[/Axially loaded bar|An example: Axially loaded bar]]
##* [[/Axial bar strong form|Strong form: governing differential equation]]
##* [[/Axial bar weak form|Weak form: integral equation]]
##* [[/Axial bar approximate solution| Approximate solution: Galerkin method]]
##* [[/Axial bar finite element solution| Approximate solution: Finite element method]]
## Weak form of PDEs
## Linear time-dependent heat equation
## Finite element basis functions
## Time integration.
#Nonlinear finite element basics
## Nonlinear heat equation - one dimension
## Basic nonlinear continuum mechanics of solids
## Total and updated Lagrangian approaches.
#Nonlinear deformation of beams
#Nonlinear deformation of plates and shells
## Basic linear plate and shell elements
## Nonlinear plates and shells
## Time-dependent deformation of shells
#Nonlinear material behaviors
## Material nonlinearities
## Objective rates
## Nonlinear Elasticity
## Plasticity
## Viscoplasticity
## Viscoelasticity.
#Verification and Validation.

===Readings and other resources===
{{Sisterprojectsearch}}

''' Textbooks'''
*'' An Introduction to Nonlinear Finite Element Analysis'' by J. N. Reddy, Oxford University Press, 2004, ISBN 019852529X.
*'' Nonlinear Finite Elements for Continua and Structures'' by T. Belytschko, W. K. Liu, and B. Moran, John Wiley and Sons, 2000.
*'' Computational Inelasticity'' by J. C. Simo and T. J. R. Hughes, Springer, 1998.
*'' The Finite Element Method: Linear Static and Dynamic Finite Element Analysis'' by T. J. R. Hughes, Dover Publications, 2000.

'''References'''

* '''Finite Element Analysis''':
** K-J. Bathe (1996), '' Finite Element Procedures'', Prentice-Hall. ''Useful repository of information on nonlinear finite elements.''
** J. N. Reddy (1993), '' An Introduction to the Finite Element Method'', McGraw-Hill. ''This book is referred to a number of times in one of the texts.''
** O. C. Zienkiewicz and R. L. Taylor (2000), '' The Finite Element Method: Volume 2 Solid Mechanics'', Butterworth-Heinemann. ''Another excellent repository of information of nonlinear finite elements geared toward the Civil Engineers.''
* '''Continuum Mechanics''':
** R. M. Brannon (2004), '' Large Deformation Kinematics.'' [http://www.mech.utah.edu/~brannon/Deformation.pdf] ''An excellent introduction to kinematics.''
** R. M. Brannon (2004), '' Rotation.'' [http://www.mech.utah.edu/~brannon/rotation.pdf] ''Almost everything you ever wanted to know about rotations.''
** A.J.M Spencer (2004), '' Continuum Mechanics'', Dover Publications. ''An excellent introduction to continuum mechanics. You should own a copy for your personal library.''
** L.E. Malvern (1969), '' Introduction to the Mechanics of a Continuous Medium'', Prentice-Hall. '' A good reference for continuum mechanics.''
* '''Mathematics''':
** R. M. Brannon (2004), '' Elementary Vector and Tensor Analysis for Engineers.'' [http://www.mech.utah.edu/~brannon/Tensors.pdf] ''This free online book is the best introduction I have seen for vector and tensor analysis for nonlinear mechanics.''
** R. M. Brannon (2004), '' Curvilinear Coordinates.'' [http://www.me.unm.edu/~rmbrann/curvilinear.pdf] '' Very useful if you wish to follow the literature on the nonlinear deformation of shells.}
** B. Daya Reddy (1998), ''Introductory Functional Analysis: With applications to boundary value problems and finite elements.'' , Springer-Verlag. '' Excellent book for engineers who want to understand the terminology used in the finite element literature and how error analysis is done.''
** A.P.S. Selvadurai (2000), '' Partial Differential Equations in Mechanics 1,2.'' Springer. ''Excellent introductory text on partial differential equations with engineers in mind.''

'''Reading List'''

Each project/lesson/activity may have a suggested reading selection, eg:

* '''Wikipedia article:'''
* '''Wikibooks textbook:'''
* etc.

===Lessons===
* Lesson 1: ...

===Activities===
*Activity 1.
*etc.

===Assignments===

===Tests and Quizzes===
*Quiz 1
*Quiz 2
*Test 1
*etc.

==Subpages==
Subpages can be created - like [[/concepts]] (for concepts involved in this learning project)

==Active participants==
Active participants in this [[Portal:Learning Projects#Learning Groups|Learning Group]]
* ...

{| width="100%" style="background:#FFFCCF; border:1px solid #DAA520"
|
==[[Portal:Learning Materials|Learning materials]]==
Learning materials and [[Portal:Learning Projects|learning projects]] are located in the main Wikiversity namespace. Simply make a [[link]] to the name of the lesson (lessons are independent pages in the [[Wikiversity:Namespaces|main namespace]]) and start writing!

You should also read about the [[Portal:Education/Wikiversity model|Wikiversity:Learning model]]. Lessons should center on learning activities for Wikiversity participants. Learning materials and learning projects can be used by multiple projects - and you are encouraged to cooperate with other departments that use the same learning resource.

|}

[[Category:Finite element analysis]]
[[Category:Computational solid mechanics]]
[[Category:Computational mechanics]]
[[Category:Solid mechanics]]
[[Category:Applied mechanics]]
[[Category:Mechanical engineering]]
[[Category:Civil engineering]]

Nonlinear finite elements

2007-08-12T22:00:27Z

155.97.235.38: /* Syllabus and Learning Materials */

Welcome to this learning project about '''{{PAGENAME}}'''!

==Learning Project Summary==
* '''Project code:'''
* '''Suggested Prerequisites:'''
** [[Linear algebra]]
** [[Partial differential equations]]
** [[Introduction to finite elements]]
** [[Continuum mechanics]]
* '''Time investment:''' 6 months
* '''Assessment suggestions:'''
* '''[[Wikiversity:Major portals|Portal]]:[[Portal:Engineering and Technology|Engineering and Technology]]'''
* '''[[Wikiversity:Schools|School]]:[[School:Engineering|Engineering]]'''
* '''Department:[[Topic:Mechanical engineering|Mechanical engineering]]'''
* '''Stream'''
* '''Level: First year graduate'''

==Content summary==
This is an introductory course on nonlinear finite element analysis of solid mechanics and heat transfer problems. Nonlinearities can be caused by changes in geometry or be due to nonlinear material behavior. Both types of nonlinearities are covered in this course.

==Goals==
This learning project aims to.
* provide the mathematical foundations of the finite element formulation for engineering applications (solids, heat, fluids).
* expose students to some of the recent trends and research areas in finite elements.

Here's a short quiz to help you find out what you need to brush up on before you dig into the course:
*[[Nonlinear finite elements/Quiz0|Assessment Quiz]]

==Contents==

=== Syllabus and Learning Materials ===

#Mathematical Preliminaries
## [[/Sets|Set notation]]
## [[/Functions|Functions]]
## [[/Vectors|Vectors]]
## [[/Matrices|Matrices]]
## [[/Tensors|Tensors]]
## [[/Partial differential equations|Partial differential equations]]
## [[/Calculus of variations|Variational calculus]]
#Finite element basics
## [[/Axially loaded bar|An example: Axially loaded bar]]
##* [[/Axial bar strength of materials|Strength of materials approach]]
##* [[/Axial bar strong form|Strong form: governing differential equation]]
##* [[/Axial bar weak form|Weak form: integral equation]]
##* [[/Axial bar approximate solution| Approximate solution: Galerkin method]]
##* [[/Axial bar finite element solution| Approximate solution: Finite element method]]
## Weak form of PDEs
## Linear time-dependent heat equation
## Finite element basis functions
## Time integration.
#Nonlinear finite element basics
## Nonlinear heat equation - one dimension
## Basic nonlinear continuum mechanics of solids
## Total and updated Lagrangian approaches.
#Nonlinear deformation of beams
#Nonlinear deformation of plates and shells
## Basic linear plate and shell elements
## Nonlinear plates and shells
## Time-dependent deformation of shells
#Nonlinear material behaviors
## Material nonlinearities
## Objective rates
## Nonlinear Elasticity
## Plasticity
## Viscoplasticity
## Viscoelasticity.
#Verification and Validation.

===Readings and other resources===
{{Sisterprojectsearch}}

''' Textbooks'''
*'' An Introduction to Nonlinear Finite Element Analysis'' by J. N. Reddy, Oxford University Press, 2004, ISBN 019852529X.
*'' Nonlinear Finite Elements for Continua and Structures'' by T. Belytschko, W. K. Liu, and B. Moran, John Wiley and Sons, 2000.
*'' Computational Inelasticity'' by J. C. Simo and T. J. R. Hughes, Springer, 1998.
*'' The Finite Element Method: Linear Static and Dynamic Finite Element Analysis'' by T. J. R. Hughes, Dover Publications, 2000.

'''References'''

* '''Finite Element Analysis''':
** K-J. Bathe (1996), '' Finite Element Procedures'', Prentice-Hall. ''Useful repository of information on nonlinear finite elements.''
** J. N. Reddy (1993), '' An Introduction to the Finite Element Method'', McGraw-Hill. ''This book is referred to a number of times in one of the texts.''
** O. C. Zienkiewicz and R. L. Taylor (2000), '' The Finite Element Method: Volume 2 Solid Mechanics'', Butterworth-Heinemann. ''Another excellent repository of information of nonlinear finite elements geared toward the Civil Engineers.''
* '''Continuum Mechanics''':
** R. M. Brannon (2004), '' Large Deformation Kinematics.'' [http://www.mech.utah.edu/~brannon/Deformation.pdf] ''An excellent introduction to kinematics.''
** R. M. Brannon (2004), '' Rotation.'' [http://www.mech.utah.edu/~brannon/rotation.pdf] ''Almost everything you ever wanted to know about rotations.''
** A.J.M Spencer (2004), '' Continuum Mechanics'', Dover Publications. ''An excellent introduction to continuum mechanics. You should own a copy for your personal library.''
** L.E. Malvern (1969), '' Introduction to the Mechanics of a Continuous Medium'', Prentice-Hall. '' A good reference for continuum mechanics.''
* '''Mathematics''':
** R. M. Brannon (2004), '' Elementary Vector and Tensor Analysis for Engineers.'' [http://www.mech.utah.edu/~brannon/Tensors.pdf] ''This free online book is the best introduction I have seen for vector and tensor analysis for nonlinear mechanics.''
** R. M. Brannon (2004), '' Curvilinear Coordinates.'' [http://www.me.unm.edu/~rmbrann/curvilinear.pdf] '' Very useful if you wish to follow the literature on the nonlinear deformation of shells.}
** B. Daya Reddy (1998), ''Introductory Functional Analysis: With applications to boundary value problems and finite elements.'' , Springer-Verlag. '' Excellent book for engineers who want to understand the terminology used in the finite element literature and how error analysis is done.''
** A.P.S. Selvadurai (2000), '' Partial Differential Equations in Mechanics 1,2.'' Springer. ''Excellent introductory text on partial differential equations with engineers in mind.''

'''Reading List'''

Each project/lesson/activity may have a suggested reading selection, eg:

* '''Wikipedia article:'''
* '''Wikibooks textbook:'''
* etc.

===Lessons===
* Lesson 1: ...

===Activities===
*Activity 1.
*etc.

===Assignments===

===Tests and Quizzes===
*Quiz 1
*Quiz 2
*Test 1
*etc.

==Subpages==
Subpages can be created - like [[/concepts]] (for concepts involved in this learning project)

==Active participants==
Active participants in this [[Portal:Learning Projects#Learning Groups|Learning Group]]
* ...

{| width="100%" style="background:#FFFCCF; border:1px solid #DAA520"
|
==[[Portal:Learning Materials|Learning materials]]==
Learning materials and [[Portal:Learning Projects|learning projects]] are located in the main Wikiversity namespace. Simply make a [[link]] to the name of the lesson (lessons are independent pages in the [[Wikiversity:Namespaces|main namespace]]) and start writing!

You should also read about the [[Portal:Education/Wikiversity model|Wikiversity:Learning model]]. Lessons should center on learning activities for Wikiversity participants. Learning materials and learning projects can be used by multiple projects - and you are encouraged to cooperate with other departments that use the same learning resource.

|}

[[Category:Finite element analysis]]
[[Category:Computational solid mechanics]]
[[Category:Computational mechanics]]
[[Category:Solid mechanics]]
[[Category:Applied mechanics]]
[[Category:Mechanical engineering]]
[[Category:Civil engineering]]

Nonlinear finite elements

2007-08-12T17:22:27Z

155.97.235.38: /* Syllabus and Learning Materials */

Welcome to this learning project about '''{{PAGENAME}}'''!

==Learning Project Summary==
* '''Project code:'''
* '''Suggested Prerequisites:'''
** [[Linear algebra]]
** [[Partial differential equations]]
** [[Introduction to finite elements]]
** [[Continuum mechanics]]
* '''Time investment:''' 6 months
* '''Assessment suggestions:'''
* '''[[Wikiversity:Major portals|Portal]]:[[Portal:Engineering and Technology|Engineering and Technology]]'''
* '''[[Wikiversity:Schools|School]]:[[School:Engineering|Engineering]]'''
* '''Department:[[Topic:Mechanical engineering|Mechanical engineering]]'''
* '''Stream'''
* '''Level: First year graduate'''

==Content summary==
This is an introductory course on nonlinear finite element analysis of solid mechanics and heat transfer problems. Nonlinearities can be caused by changes in geometry or be due to nonlinear material behavior. Both types of nonlinearities are covered in this course.

==Goals==
This learning project aims to.
* provide the mathematical foundations of the finite element formulation for engineering applications (solids, heat, fluids).
* expose students to some of the recent trends and research areas in finite elements.

Here's a short quiz to help you find out what you need to brush up on before you dig into the course:
*[[Nonlinear finite elements/Quiz0|Assessment Quiz]]

==Contents==

=== Syllabus and Learning Materials ===

#Mathematical Preliminaries
## [[/Sets|Set notation]]
## [[/Functions|Functions]]
## [[/Vectors|Vectors]]
## [[/Matrices|Matrices]]
## [[/Tensors|Tensors]]
## [[/Partial differential equations|Partial differential equations]]
## [[/Calculus of variations|Variational calculus]]
#Finite element basics
## Weak form of PDEs
## Linear time-dependent heat equation
## Finite element basis functions
## Time integration.
#Nonlinear finite element basics
## Nonlinear heat equation - one dimension
## Basic nonlinear continuum mechanics of solids
## Total and updated Lagrangian approaches.
#Nonlinear deformation of beams
#Nonlinear deformation of plates and shells
## Basic linear plate and shell elements
## Nonlinear plates and shells
## Time-dependent deformation of shells
#Nonlinear material behaviors
## Material nonlinearities
## Objective rates
## Nonlinear Elasticity
## Plasticity
## Viscoplasticity
## Viscoelasticity.
#Verification and Validation.

===Readings and other resources===
{{Sisterprojectsearch}}

''' Textbooks'''
*'' An Introduction to Nonlinear Finite Element Analysis'' by J. N. Reddy, Oxford University Press, 2004, ISBN 019852529X.
*'' Nonlinear Finite Elements for Continua and Structures'' by T. Belytschko, W. K. Liu, and B. Moran, John Wiley and Sons, 2000.
*'' Computational Inelasticity'' by J. C. Simo and T. J. R. Hughes, Springer, 1998.
*'' The Finite Element Method: Linear Static and Dynamic Finite Element Analysis'' by T. J. R. Hughes, Dover Publications, 2000.

'''References'''

* '''Finite Element Analysis''':
** K-J. Bathe (1996), '' Finite Element Procedures'', Prentice-Hall. ''Useful repository of information on nonlinear finite elements.''
** J. N. Reddy (1993), '' An Introduction to the Finite Element Method'', McGraw-Hill. ''This book is referred to a number of times in one of the texts.''
** O. C. Zienkiewicz and R. L. Taylor (2000), '' The Finite Element Method: Volume 2 Solid Mechanics'', Butterworth-Heinemann. ''Another excellent repository of information of nonlinear finite elements geared toward the Civil Engineers.''
* '''Continuum Mechanics''':
** R. M. Brannon (2004), '' Large Deformation Kinematics.'' [http://www.mech.utah.edu/~brannon/Deformation.pdf] ''An excellent introduction to kinematics.''
** R. M. Brannon (2004), '' Rotation.'' [http://www.mech.utah.edu/~brannon/rotation.pdf] ''Almost everything you ever wanted to know about rotations.''
** A.J.M Spencer (2004), '' Continuum Mechanics'', Dover Publications. ''An excellent introduction to continuum mechanics. You should own a copy for your personal library.''
** L.E. Malvern (1969), '' Introduction to the Mechanics of a Continuous Medium'', Prentice-Hall. '' A good reference for continuum mechanics.''
* '''Mathematics''':
** R. M. Brannon (2004), '' Elementary Vector and Tensor Analysis for Engineers.'' [http://www.mech.utah.edu/~brannon/Tensors.pdf] ''This free online book is the best introduction I have seen for vector and tensor analysis for nonlinear mechanics.''
** R. M. Brannon (2004), '' Curvilinear Coordinates.'' [http://www.me.unm.edu/~rmbrann/curvilinear.pdf] '' Very useful if you wish to follow the literature on the nonlinear deformation of shells.}
** B. Daya Reddy (1998), ''Introductory Functional Analysis: With applications to boundary value problems and finite elements.'' , Springer-Verlag. '' Excellent book for engineers who want to understand the terminology used in the finite element literature and how error analysis is done.''
** A.P.S. Selvadurai (2000), '' Partial Differential Equations in Mechanics 1,2.'' Springer. ''Excellent introductory text on partial differential equations with engineers in mind.''

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[[Category:Finite element analysis]]
[[Category:Computational solid mechanics]]
[[Category:Computational mechanics]]
[[Category:Solid mechanics]]
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Nonlinear finite elements

2007-08-11T03:48:49Z

155.97.235.38: /* Goals */

Nonlinear finite elements

2007-08-11T03:47:34Z

155.97.235.38: /* Content summary */

Nonlinear finite elements

2007-08-10T05:49:04Z

155.97.235.38:

Nonlinear finite elements

2007-08-10T05:40:51Z

155.97.235.38: New page: {{subst:Template:Learning_project_boilerplate}}

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