期刊
JOURNAL OF ELASTICITY
卷 133, 期 2, 页码 223-252出版社
SPRINGER
DOI: 10.1007/s10659-018-9677-2
关键词
Third-order elasticity; Second strain gradient elasticity; Finite gradient elasticity; 74A99; 74B20
资金
- German Research Foundation
A constitutive format for the third-order gradient elasticity is suggested. It includes both isotropic and anisotropic non-linear behavior under finite deformations. Appropriate invariant stress and strain variables are introduced, which allow for reduced forms of the elastic energy law that identically fulfill the objectivity requirement. After working out the transformation behavior under a change of the reference placement, the symmetry transformations for third-order materials can be introduced. After the mechanical third-order theory, an extension to thermoelasticity is given, and necessary and sufficient conditions are derived from the Clausius-Duhem inequality.
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