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Classical Linear Constitutive Behavior

  • Tarek I. Zohdi
Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 64)

Abstract

We now consider idealized linear material behavior.

The starting point to develop a constitutive theory is to assume that an energy function per unit volume exists, a nonnegative function denoted W. A linear constitutive relation can be derived from

\({\bf D}=\frac{\partial{W}}{\partial{\bf E}}\) (4.1)

and

\({W}\approx c_0+{\bf c}_1\cdot{\bf E}+ \frac{1}{2}{\bf E} \cdot{\bf \epsilon} \cdot{\bf E}+...\) (4.2)

which implies

D ≈ c 1 + ε·E + ... (4.3)

Keywords

Energy Function Positive Eigenvalue Constitutive Theory Order Tensor Material Tensor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Dept. Mechanical EngineeringUniversity of CaliforniaBerkeleyUSA

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