Search Results - Boundary element methods applied to problems in solid mechanics

A polyhedral element formulation based on the scaled boundary method for the analysis of nonlinear problems in solid mechanics by Reichel, Rainer, Klarmann, Simon, Klinkel, Sven

“…‐called scaled boundary finite element method (SBFEM). The SBFEM is a semi‐analytical formulation to analyze problems in linear elasticity…”
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Stress recovery procedure for solving boundary value problems in the mechanics of a deformable solid by the finite element method by Rogovoi, A.A., Stolbova, O.S.

“…A stress recovery procedure, based on the determination of the forces at the mesh points using a stiffness matrix obtained by the finite element method for the variational Lagrange equation, is described…”
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A finite element formulation in boundary representation for the analysis of nonlinear problems in solid mechanics by Klinkel, S., Reichel, R.

“… Scaling the boundary description determines the interior domain. The scaling approach is adopted from the so-called scaled boundary finite element method (SBFEM…”
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Finite elements with boundary interpolation applied to the solid mechanics field problem by De Langhe, K.

“… This interpolation is postulated on the boundary of an element only and generates more accurate elements with respect to stiffness matrix and nodal force vector…”
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New boundary element methods for solid mechanics: Integration methodology and new Green's functions by Vijayakumar, Sinnathurai

“…The ideas presented in this thesis are directed towards widening the scope and improving computational efficiency of the boundary element and the related displacement discontinuity methods applied to linear elasticity…”
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Boundary element methods in applied mechanics : proceedings of the First Joint Japan/US Symposium on Boundary Element Methods, University of Tokyo, Tokyo, Japan, 3-6 October 1988 by Joint Japan/US Symposium on Boundary Element Methods, 田中, 正隆, Cruse, Thomas A., Japan Society for Computational Methods in Engineering, American Society of Mechanical Engineers. Committee on Computing in Applied Mechanics

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Boundary element methods for linear and nonlinear solid mechanics problems; and fracture toughness enhancement mechanisms in ceramic materials by Okada, Hiroshi

“…The first part of the thesis essentially pertains to the application of boundary element method for the analyses of linear elasticity, small strain elastoplasticity and large strain elastoplasticity…”
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Weak‐form element differential method for solving mechanics and heat conduction problems with abruptly changed boundary conditions by Zheng, Yong‐Tong, Gao, Xiao‐Wei, Lv, Jun, Peng, Hai‐Feng

“…Summary Element differential method (EDM), as a newly proposed numerical method, has been applied to solve many engineering problems because it has higher computational efficiency and it is more stable than other strong‐form methods…”
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Explicit boundary element method for nonlinear solid mechanics using domain integral reduction by Nicholson, D.W., Kassab, A.J.

“…Applied to solid mechanics problems with geometric nonlinearity, current finite element and boundary element methods face difficulties if the domain is highly distorted…”
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A new approach for the Modified Local Green’s Function Method applied to solid mechanics problems by Corrêa, Ramon Macedo, Arndt, Marcos, Machado, Roberto Dalledone

“… or a Green’s function, since projections of Green’s functions, determined by Finite Element Method, are used as fundamental solution to solve problems…”
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The hp finite element method for problems in mechanics with boundary layers by Schwab, C., Suri, M., Xenophontos, C.

“…We consider the numerical approximation of boundary layer phenomena occurring in many singularly perturbed problems in mechanics, such as plate and shell problems…”
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A finite element formulation in boundary representation for the analysis of nonlinear problems in solid mechanics by Klinkel, Sven, Reichel, Rainer

“… It is based on the so‐called scaled boundary finite element method (SB‐FEM). The SB‐FEM is as a semi‐analytical formulation to analyze problems of linear elasticity…”
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Numerical Solution of Solid Mechanics Problems Using a Boundary-Only and Truly Meshless Method by Li, Xiaolin

“… of solid mechanics problems in two and three dimensions. In this method, boundary conditions can be applied directly and easily…”
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Boundary Element Methods in Applied Mechanics: Proceedings of the First Joint Japan/US Symposium on Boundary Element Methods, University of Tokyo, Tokyo, Japan, 3-6 October 1988 by Tanaka, Masataka

“…This Proceedings features a broad range of computational mechanics papers on both solid and fluid mechanics as well as electromagnetics, acoustics, heat transfer and other interdisciplinary problems…”
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Modification of the Mixed Finite Element Method for Solving Boundary Problems of Mechanics of Deformable Structures in the Three-Dimensional Statement: Basic Principles and Test Problems by Kobelskyi, S. V.

“…The mixed projection-mesh scheme of the finite element method was used to set a mixed approximation for three finite elements in the form of a hexagonal eight-node prism with the substitution…”
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A cut finite-element method for fracture and contact problems in large-deformation solid mechanics by Poluektov, Michael, Figiel, Łukasz

“…Cut finite-element methods (CutFEMs) belong to the class of methods that allow boundaries/interfaces to cut through the elements, which avoids any meshing/remeshing problems…”
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Fracture Mechanics in Layered and Graded Solids: Analysis Using Boundary Element Methods by Xiaohong, Tian

“… This work covers and develops boundary element methods (BEM) to investigate the properties of realistic graded materials…”
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Eigenvectors method in mechanics of solids one-dimensional linear boundary problems solution by Korovaytseva, E A

“… Eigenvectors method is suggested for solution of corresponding linear boundary problems. The method is based on lattice functions theory and differential equations theory, allowing to obtain analytical form of integral matrices…”
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Boundary Element Methods in Applied Mechanics

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Some applications of the mixed finite-element method to the solution of problems in solid mechanics by Chirkov, A. Yu

“…) to solve applied problems in solid mechanics. The general theory of mixed projection-mesh algorithms is developed…”
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