中文摘要：

纺织材料设计反问题是数学物理反问题的一个新领域，也被称为应用数学与计算数学的一个分支．综述纺织材料设计反问题的来源、数学归结，并基于服装的热湿舒适性、压力舒适性提出了设计反问题，给出了反问题解的定义，综述了求解纺织材料设计反问题的数值算法，列举了若干具有挑战的研究课题．

英文摘要：

Inverse problems of textile materials design, which are also regarded as a branch of applied mathematics and computational mathematics, are a new field of inverse problems in mathematical physics. An overview on the background and mathematical formulation of inverse problems of textile materials design is given. The definition of the solution to the inverse problems based on the clothing heat-moisture comfort or pressure comfort is proposed, the numerical algorithms for inverse problems of textile materials design are summarized, and a number of challenging research subjects are enumerated.