Крайова задача лінійної в’язкопружності для плити з еліптичним включенням

Abstract

This paper is devoted to the linear viscoelasticity problem for an infinite anisotropic plate with elliptic inclusion. Using the small parameter method, the timedependent problem is transformed into a sequence of elasticity problems solved via complex potentials and the generalized least squares method. Numerical investigations for various materials demonstrate that the most significant redistribution of the stress state occurs during the initial stage of the viscoelastic process and eventually reaches a stationary state. The boundary conditions are satisfied using a discrete approach, ensuring high computational accuracy. The results offer a robust mathematical framework for predicting the long-term structural integrity of composite plates with localized inhomogeneities