Stress-induced phase transformations in elastic solids under anti-plane deformations: dissipative constitutive models and numerical simulation

摘要: Abstract The present paper addresses modeling and numerical description of stress-induced phase transformations in solids. study is developed the setting a generalized neo-Hookean elastic material under anti-plane deformations. It assumed that kinetics transformation governed by inequality constraints which lead to dissipative behavior material. A thermodynamic analysis motivates assumption stress continuity across surface separation between phases. We propose new finite element for boundaries (characterized strain discontinuities) any position within element. problem are enforced means return mapping algorithm. Dendritic formations represented results corresponding resulting model.