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classical elasticity

Anisotropic stiffness of isotropic material

Dear colleagues,


Consider a simple non-linear elastic material with stress given as

σ = D(εdev) εdev + B εiso

where εdev is the norm of εdev, D is a function of εdev and B is constant. The material is isotropic since the principal directions of  σ and ε will coincide.

If we differentiate σ wrt ε to obtain the material stiffness the form of the stiffness tensor will be

Kamyar M Davoudi's picture

Stresses and Strains

In classical elasticity, we know that at the interface of two different materials, traction stresses and non-traction strains are cotinuous. Traction stresss are continuous according to Newton's third law, but why non-traction strains are continuous?

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