living matter lab
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Revision as of 21:35, 10 March 2008

Contents

me338A - continuum mechanics

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me338A - continuum mechanics

ellen kuhl, gilwoo choi

spring 2008
tue thu 11:00-12:15
530-127

 

goals

basic concepts of finite elements, with applications to problems confronted by mechanical designers. linear static, modal, and thermal formulations; nonlinear and dynamic formulations. students implement simple element formulations. application of a commercial finite element code in analyzing design problems. issues: solution methods, modeling techniques features of various commercial codes, basic problem definition. Individual projects focus on the interplay of analysis and testing in product design and development. prerequisite: math103, or equivalent. recommended: me80, or equivalent in structural and/or solid mechanics; some exposure to principles of heat transfer.

grading

  • 50 % homework - 3 homework assignments, 16.7% each
  • 30 % midterm - open book, open notes
  • 20 % project - final project

syllabus

day date topic notes hw
tue apr 01 introduction - why potatoes?
thu apr 03 vectors & tensors - vector algebra
tue apr 08 vectors & tensors - tensor algebra
thu apr 10 vectors & tensors - tensor analysis
tue apr 15 kinematics - configurations, deformation
thu apr 17 kinematics - temporal derivatives
tue apr 22 kinematics - spatial derivatives h05
thu apr 24 kinematics - strain measures
tue apr 29 balance equations - mass, reynolds' transport theorem
thu may 01 balance equations - momentum, concept of stress h03
tue may 06 balance equations - moment of momentum, energy
thu may 08 balance equations - entropy, master balance law
tue may 13 constitutive equations - hyperelasticity, isotropic
thu may 15 constitutive equations - hyperelasticity, anisotropic
tue may 20 midterm
thu may 22 constitutive equations - viscoelasticity
tue may 27 constitutive equations - elastodamage
thu may 29 variational principles - virtual work
tue jun 03 journal club - final project discussion

suggested reading

holzapfel ga: nonlinear solid mechanics, a continuum approach for engineering, john wiley & sons, 2000