A Dynamic Green's Function for the Homogeneous Viscoelastic and Isotropic Half-Space

被引：0

作者：

Rangelov, Tsviatko, V ^{[1
]}

Dineva, Petia S. ^{[2
]}

Manolis, George D. ^{[3
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, Sofia 1113, Bulgaria

[2] Bulgarian Acad Sci, Inst Mech, Sofia 1113, Bulgaria

[3] Aristotle Univ Thessaloniki, Dept Civil Engn, GR-54124 Thessaloniki, Greece

来源：

NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES, NTADES 2023 | 2024年 / 449卷

关键词：

Viscoelasticity; Half-space; Green's function; Boundary elements; PROPAGATION;

D O I：

10.1007/978-3-031-53212-2_13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A dynamic 3D Green's function for the homogeneous, isotropic and viscoelastic (of the Zener type) half-space is derived in a closed form. The results obtained here can be used as either stand-alone solutions for simple problems or in conjunction with a boundary integral equation formulations to account for complex boundary conditions. In the later case, mesh-reducing boundary element formulations can be constructed as an alternative method for numerical implementation purposes.

引用

页码：151 / 160

页数：10

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