Article ID Journal Published Year Pages File Type
279675 International Journal of Solids and Structures 2007 11 Pages PDF
Abstract

In this paper some expressions for stresses conjugate to two-point deformation tensors are derived. These expressions are offered in both the component and basis-free forms. Although, the material time rate of a two-point deformation tensor is not an objective quantity, the stress tensor conjugate to it may be determined. The component-form expressions are obtained by using the notion of conjugacy together with the objectivity of the stress power. The component-form expressions are then extended to a unified basis-free form, using a theorem established for this purpose. The specific results are provided for all different cases of distinct and coalescent principal stretches in a three-dimensional inner product space.

Related Topics
Physical Sciences and Engineering Engineering Civil and Structural Engineering
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