An Application of the Correspondence Principle of Linear Viscoelasticity Theory
An Application of the Correspondence Principle of Linear Viscoelasticity Theory
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DOI：
10.1137/0121034
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发表时间：
1971-09
影响因子：
1.9
通讯作者：
F. Rizzo;D. Shippy
中科院分区：
文献类型：
--
作者：
F. Rizzo;D. Shippy
基于弹性力学场方程的Kelvin点力解，给出了线性粘弹性平面边值问题的数值解法。假设对应原理的适用性条件;否则，而一般的材料性能，域形状和边界条件被认为是。系统的奇异积分方程的形式和数值求解的拉普拉斯变换空间。变换反演是单独考虑的。文中给出了一个常见的弹性增强粘弹性圆柱体问题的数据。该程序可以扩展到包括各向异性粘弹性行为，也不局限于平面问题。
A numerical solution procedure is given for plane boundary value problems of linear viscoelasticity theory, based on Kelvin’s point force solution to the field equations of elasticity theory. Conditions for applicability of the correspondence principle are assumed; otherwise rather general material properties, domain shapes, and boundary conditions are considered. Systems of singular integral equations are formed and solved numerically in the Laplace transform space. Transform inversion is considered separately. Data for a familiar problem of an elastically reinforced viscoelastic cylinder are given for illustration. The procedure may be extended to include anisotropic viscoelastic behavior; also it is not inherently limited to plane problems.