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.
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页码：151 / 160
页数：10
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