We study the existence of weak solutions to an initial‐boundary value problem for a new phase‐field model, which consists of a degenerate parabolic equation coupled to linear elasticity equations. This model is used to describe the evolution of interfaces in elastically deformable solid materials which moves by configurational forces, such as martensitic phase transformations in shape memory alloys. The existence proof is valid only for one‐dimensional case.

中文翻译：

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由构型力驱动的马氏体相变相场模型的解

我们研究了一个新的相场模型的初始边界值问题的弱解的存在，该模型包括一个退化的抛物线方程和线性弹性方程。该模型用于描述可弹性变形的固体材料中界面的演化，该界面材料通过构型力（例如形状记忆合金中的马氏体相变）移动。存在证明仅对一维情况有效。