Mathematical Sciences: Mixed-type Problems in Nonlinear Elasticity Related to Change of Phase

该研究项目涉及一个初步的- 非线性弹性边值问题 涉及非单调应力应变关系。 的 此类问题的稳定解决方案必须最大限度地减少 非凸能量泛函 他们可能会表现出怀疑， 与相位变化有关的连续梯度。 的 这种稳定解的存在性及其长时间 将研究极限行为。 研究结果将具有实际意义 在工程力学中。

The research project is concerned with an initial- boundary value problem from nonlinear elasticity theory involving nonmonotone stress strain relations. The stable solutions for such a problem will have to minimize a noncovex energy functional. They may exhibit discon- tinuous gradients related to changes of phases. The existence of such stable solutions and their long time limiting behavior will be investigated. The research results will have practical implications in engineering mechanics.