损伤演化为相变的亚临界模型
Sub-critical model of damage evolution as a phase transition
摘要:
许多研究探讨了统计力学在损伤现象中的应用。然而,迄今为止,损伤与统计力学的联系还远未完全发展。最成功的方法之一是将强度元素映射到晶格的自旋上。这允许应用广泛发展的自旋系统的形式主义破坏现象。为了改进模型,引入了裂纹尖端自旋的相互作用。此外,统计力学的模型开发不同的外部边界约束。
英文摘要:
Many studies investigated the application of statistical mechanics to damage phenomena. However, so far the association of damage with statistical mechanics is far from completely developed. One of the most successful approaches maps the strength elements onto the spins of a lattice. This allows applying the formalism extensively developed for spin systems to damage phenomena. To improve the model the interactions of spins at the crack tips are introduced. Further, statistical mechanics of the model is developed for different external boundary constraints.
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