WIT Press


On Incremental Equilibrium Equations In Solid Mechanics

Price

Free (open access)

Paper DOI

10.2495/BE980661

Volume

21

Pages

10

Published

1998

Size

605 kb

Author(s)

D.W. Nicholson

Abstract

An incremental differential equilibrium equation is derived in solid mechanics for possible use in the boundary element method. The equation involves a tangent modulus tensor with two terms. One is totally symmetric, exhibiting at most twenty one distinct entries as in linear, anisotropic, inhomogeneous elasticity. There are only six distinct entries in the second term. 1. Introduction The governing equation for a linear, anisotropic, inhomogeneous elastic medium under small strain involves a tangent modulus tensor with at most 21 distinct entries. The equation can potentially be solved using the boundary element method, following Divo and Kassab* and Kassab and Divo^. The goal of this investigation is to identify the extent to which the incremental equation in solid m

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