A general density-preserving remodeling law for isotropic materials

作者：Nadler Ben^*

来源：Mathematics and Mechanics of Solids, 2014, 19(2): 212-220.

DOI：10.1177/1081286512461928

• Material evolution
• isotropy
• density preserving
• rate dependent
• Mandel stress

The theory of material evolution is specialized to accommodate density-preserving remodeling of isotropic materials. It is assumed that in the pure mechanical case, the rate of evolution depends on the stress, deformation and the evolution. The dissipation inequality and the conservation of density indicate that the driving force for the evolution is the symmetric deviatoric part of the Mandel stress. The isotropic tensor-valued function representation theorem is used to show that there are 18 different admissible evolution modes. Assuming that the dissipation inequality takes a quadratic form, each evolution mode is driven by an associated configurational force. In the proposed evolution model each mode is governed by a single material constant corresponding to viscosity. Moreover, consistent evolution criteria are developed such that evolution arises only if a certain threshold is reached.

• 出版日期2014-3