Stress-induced phase transformations in linear elastic solids are considered for the case of plane strain on the basis of a previously developed procedure that includes finding the optimal composite microstructures which provide the exact lower bound of the energy and the equilibrium new phase volume fraction that satisfies the thermodynamic equilibrium condition. Stress–strain diagrams are constructed for various deformation paths on which phase transformations are controlled by average strains or by different components of average strain and average stresses. Strain hardening and strain softening effects are demonstrated on the path of the transformation. In the case of mixed strain-stress control, regimes for which the minimizing volume fraction does not correspond to any optimal microstructure, or optimal microstructures which could not satisfy the thermodynamic equilibrium condition with respect to the new phase volume fraction, are presented. It is shown that this leads to the incompleteness of a gradual phase transformation, jump-like transformation behavior, and jump in stress. An indifferent equilibrium regime is also discussed.

在平面应变的情况下，在先前开发的程序的基础上考虑了线性弹性固体中应力引起的相变，该程序包括找到最佳的复合微结构，该结构可提供能量的精确下限和满足要求的平衡新相体积分数热力学平衡条件。构造了各种变形路径的​​应力-应变图，在这些变形路径上，相变由平均应变或平均应变和平均应力的不同分量控制。在转变的路径上证明了应变硬化和应变软化效果。在混合应变-应力控制的情况下，最小体积分数不对应于任何最佳微观结构的方案，提出了关于新相体积分数不能满足热力学平衡条件的最佳微观结构。结果表明，这会导致不完全的相变，跳跃状的转变行为和应力跳跃。还讨论了冷漠的平衡机制。