meshless method;
local weak-form;
unit step function;
moving least-squares approximation;
Laplace-transform;
functionally graded materials (FGMs);
transient elastodynamics;
crack problems;
D O I:
暂无
中图分类号:
T [工业技术];
学科分类号:
08 ;
摘要:
A meshless method based on the local Petrov-Galerkin approach is presented for stress analysis in three-dimensional (3-d) axisymmetric linear elastic solids with continuously varying material properties. The inertial effects are considered in dynamic problems. A unit step function is used as the test functions in the local weak-form. It is leading to local boundary integral equations (LBIEs). For transient elastodynamic problems the Laplace-transform technique is applied and the LBIEs are given in the Laplace-transformed domain. Axial symmetry of the geometry and the boundary conditions for a 3-d linear elastic solid reduces the original 3-d boundary value problem into a 2-d problem. The geometry of subdomains is selected as a toroid with a circular cross section in the considered (x(1),x(3))-plane. The final form of the local integral equations has a pure contour-integral character only in elastostatic problems. In elastodynamics an additional domain-integral is involved due to inertia terms. The moving least-squares (MLS) method is used for the approximation of physical quantities in LBEEs.
机构:
North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
Yuan, Xufei
Gu, Gendai
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机构:
North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
Gu, Gendai
Zhao, Meiling
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h-index: 0
机构:
North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R ChinaNorth China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
Zhao, Meiling
PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELLING AND STATISTICS APPLICATION (AMMSA 2017),
2017,
141
: 157
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161
机构:
Department of the Accounting Information, Chang-Jung Christian University, Tainan 714, Kway JenDepartment of the Accounting Information, Chang-Jung Christian University, Tainan 714, Kway Jen