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Structural analysis is the determination of the effects of loads on physical structures and their components. Structures subject to this type of analysis include all that must withstand loads, such as buildings, bridges, vehicles, furniture, soil strata, prostheses and biological tissue.
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Symmetry properties of the tangent modulus (strain energy function)
For a strain energy function W depending on the Lagrangian strain E,the Piola-Kirchhoff stress of the second kind can be obtained by
Sij = ∂W/∂Eij
and the tangent modulus by
Cijkl = ∂Sij/∂Ekl
The …