The paper presents a novel approach for analysis of thermoelasticity problems for solids with deformable thread-like (wired, textile) inhomogeneities. It is proposed to model a thread-like inclusion with a spatial curve, with appropriate influence functions set on it. The mathematical models of heat conduction and thermoelasticity of thread-like inclusions are obtained, which account for thermal, elastic and thermoelastic properties of these inhomogeneities. Combined with the boundary integral equations for a medium with a thread-like inhomogeneity these models allow obtaining equations for determination of sought influence functions. Their solution technique is proposed based on the orthogonal polynomials approach. The methods for determination of thermoelastic property contribution tensors are considered, which allows determination of effective properties of fiber reinforced composite materials and has wide applications in modern material engineering. Corresponding numerical examples are presented and verified.

本文提出了一种分析具有可变形线状（有线、纺织）不均匀性的固体的热弹性问题的新方法。建议用空间曲线对线状夹杂物进行建模，并在其上设置适当的影响函数。获得了线状夹杂物的热传导和热弹性的数学模型，这些模型解释了这些不均匀性的热、弹性和热弹性特性。结合具有线状不均匀性的介质的边界积分方程，这些模型允许获得用于确定所寻求的影响函数的方程。他们的求解技术是基于正交多项式方法提出的。考虑了确定热弹性特性贡献张量的方法，它可以确定纤维增强复合材料的有效性能，并在现代材料工程中具有广泛的应用。给出并验证了相应的数值例子。