标题： 动态热弹性壳体问题的渐近分析 显示英文标题

标题： Asymptotic analysis of a problem for dynamic thermoelastic shells

摘要： 在本文中，我们考虑了一类三维热弹性问题，针对线性椭圆膜壳，并研究当厚度趋于零时解的渐近行为。我们通过强收敛结果完全表征了极限，将其作为具有共同中间表面的三维壳体族的二维问题的唯一解。这些问题为动态问题，其本构热弹性定律由杜哈梅-尼曼关系给出。 显示英文摘要

摘要： In this paper we consider a family of three-dimensional problems in thermoelasticity for linear elliptic membrane shells and study the asymptotic behaviour of the solution when the thickness tends to zero.We fully characterize with strong convergence results the limit as the unique solution of a two-dimensional problem, where the reference domain is the common middle surface of the family of three-dimensional shells. The problems are dynamic and the constitutive thermoelastic law is given by the Duhamel-Neumann relation.