Lec 1 | MIT Finite Element Procedures for Solids and Structures, Nonlinear Analysis

Lecture 1: Introduction to nonlinear analysis
Instructor: Klaus-Jürgen Bathe
View the complete course: ocw.mit.edu/RES2-002S10
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
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[@MatthewTaylorAu]

Thanks for posting this lecture. Looking forward to seeing the rest of this series.

[@sanjb109]

Thanks You professor, I would like to thanks for your great contribution for such a great knowledge sharing to the world.

[@BearOldcastle]

4:40 greatest understament ive heard yet

[@boattan7279]

i really love the log lol......Professor is so serious about his logo.....

[@salganik]

It's all about finite element analysis. If using materials are linear (only elastic properties) -- it's linear finite element analysis. If materials are non-linear (for example bilinear strain-stress curve with hardening) -- it's non-linear finite element analysis.
This difference is so important because non-linear problems don't have analytical solutions, only numerical.

[@florianrudowable]

My Nonlinear FEM lecture is just bad. Thank's for this great video.

[@AonnrecordsBlogspot]

You got your popcorn ready? Have a seat and break out with the notepad. We're about to do STEM homework LOL Great video!!

[@imegatrone]

I Really Like The Video Introduction to nonlinear analysis From Your

[@engmate32]

Thank you ; could any body help me to know what is the diffrence between FEM and non-linear anaylsis??

[@agingerrail123]

Finite element analysis is a paradigm of numerical method to solve partial differential equations. These partial differential equations could ones that describe the behaviours of solids or fluids with different properties and under different variables in consideration (Temperature, displacement, velocity).
Now the these behaviour of solids or fluid could be defined using linear principles or non-linear principles. Where the non-linear principles are more complex and more in line with the actual behaviours. The linear principles are a simplification of the non-linear principles for numerical simplicitic reasons.
Non-linearity in terms of solid mechanics FEM can include material non-linearity and material non-linearity.

[@giannyberger]

FEM analysis is a method for splitting up an object into a finite number of elements.
Linear Analysis is a type of FEM analysis that studies the elastic behaviour of these elements. (so only temporary elastic deformations, like elongation of a spring)
Nonlinear analysis, however, is a type of FEM analysis that studies elasticity as well as plasticity. (so also permanent deformations like bending a paperclip)

[@AonnrecordsBlogspot]

9:22

[@Edruezzi]

This is the current frontier.