Stress-Induced Phase Transformations in Shape-Memory Polycrystals
Stress-Induced Phase Transformations in Shape-Memory Polycrystals
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DOI：
10.1007/s00205-009-0263-4
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发表时间：
2010-06-01
影响因子：
2.5
通讯作者：
Schloemerkemper, Anja
中科院分区：
文献类型：
--
作者：
Bhattacharya, Kaushik;Schloemerkemper, Anja
形状记忆合金经历涉及晶体结构变化的固-固相变。我们研究模型的问题，在标量设置的动机的情况下，这种转变是由应力的应用引起的多晶材料制成的许多晶粒的相同的结晶固体具有不同的取向。我们发现，在一个均匀的弹性颗粒多晶体的转变的发病实际上是准确地预测了所谓的萨克斯界的基础上的均匀应力的anananterior。我们还提出了一个简单的例子，其中相变的开始是由萨克斯界，相变的程度是由恒定应变泰勒界。最后利用Milton-Serkov界讨论了一般问题的应力应变关系。
Shape-memory alloys undergo a solid-to-solid phase transformation involving a change of crystal structure. We examine model problems in the scalar setting motivated by the situation when this transformation is induced by the application of stress in a polycrystalline material made of numerous grains of the same crystalline solid with varying orientations. We show that the onset of transformation in a granular polycrystal with homogeneous elasticity is in fact predicted accurately by the so-called Sachs bound based on the ansatz of uniform stress. We also present a simple example where the onset of phase transformation is given by the Sachs bound, and the extent of phase transformation is given by the constant strain Taylor bound. Finally we discuss the stress-strain relations of the general problem using Milton-Serkov bounds.