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

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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A three-dimensional hybrid smoothed finite element method (H-SFEM) for nonlinear solid mechanics problems by Li, Eric, He, Z. C., Xu, Xu, Liu, G. R., Gu, Y. T.

“…) for solid mechanics problems. In 3D H-SFEM, the strain field is assumed to be the weighted average between compatible strains from the finite element method (FEM…”
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An edge-based smoothed finite element method for 3D analysis of solid mechanics problems by Cazes, F., Meschke, G.

“…SUMMARYThe edge‐based smoothed finite element method (ES‐FEM) was proposed recently in Liu, Nguyen…”
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A Gradient Stable Node-Based Smoothed Finite Element Method for Solid Mechanics Problems by Chen, Guangsong, Ma, Jia, Qian, Linfang

“…This paper presents a gradient stable node-based smoothed finite element method (GS-FEM) which resolves the temporal instability of the node-based smoothed finite element method…”
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A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements by Nguyen-Thoi, T., Liu, G. R., Lam, K. Y., Zhang, G. Y.

“…This paper presents a novel face‐based smoothed finite element method (FS‐FEM) to improve the accuracy of the finite element method (FEM) for three‐dimensional (3D) problems. The FS‐FEM uses 4…”
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Formulation of Fuzzy Finite-Element Methods for Solid Mechanics Problems by Muhanna, Rafi L., Mullen, Robert L.

“…Accounting for uncertainties in mechanics problems has been accomplished previously by probabilistic methods that may require highly repetitive and time…”
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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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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 novel alpha finite element method ( αFEM) for exact solution to mechanics problems using triangular and tetrahedral elements by Liu, G.R., Nguyen-Thoi, T., Lam, K.Y.

“…The paper presents an alpha finite element method ( αFEM) for computing nearly exact solution in energy norm for mechanics problems using meshes that can be generated automatically for arbitrarily complicated domains…”
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Implementation of finite element method for solid mechanics problems in Julia programming language by Antoshkin, A D, Cherednichenko, A V, Savelyeva, I Yu

“…The paper proposes finite element method algorithm implemented in Julia programming language…”
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Mixed stabilized finite element methods in nonlinear solid mechanics Part II: Strain localization by CERVERA, M, CHIUMENTI, M, CODINA, R

“… Focus is placed on low order finite elements with continuous strain and displacement…”
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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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Mixed stabilized finite element methods in nonlinear solid mechanics Part I: Formulation by CERVERA, M, CHIUMENTI, M, CODINA, R

“…This paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems…”
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A stress recovery procedure for solving geometrically non-linear problems in the mechanics of a deformable solid by the finite element method by Rogovoi, A.A., Stolbova, O.S.

“…A stress recovery procedure is presented for non-linear and linearized problems, based on the determination of the forces at the mesh points using a stiffness matrix obtained by the finite element…”
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A novel twice-interpolation finite element method for solid mechanics problems by Zheng, C., Wu, S. C., Tang, X. H., Zhang, J. H.

“…） is presented for solid mechanics problems. In this method, the trial function for Galerkin weak form is constructed through two stages of consecutive interpolation…”
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Finite elements with boundary interpolation applied to the solid mechanics field problem by De Langhe, K.

“…In the following paper, a modified interpolation scheme for finite elements is presented…”
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Formulation of fuzzy finite-element methods for solid mechanics problems: Fuzzy modeling by MUHANNA, R. L, MULLEN, R. L

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Evaluation of three unstructured multigrid methods on 3D finite element problems in solid mechanics by Adams, Mark

“…Multigrid has been a popular solver method for finite element and finite difference problems with regular grids for over 20 years…”
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A new polyhedral element for the analysis of hexahedral-dominant finite element models and its application to nonlinear solid mechanics problems by Nguyen-Hoang, Son, Sohn, Dongwoo, Kim, Hyun-Gyu

“…A hexahedral-dominant finite element mesh can be easily constructed by cutting regular hexahedral elements in a simple block with CAD surfaces representing outer surfaces of a geometric model…”
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An n-sided polygonal edge-based smoothed finite element method (nES-FEM) for solid mechanics by Nguyen-Thoi, T., Liu, G. R., Nguyen-Xuan, H.

“…‐sided polygonal edge‐based smoothed finite element method (nES‐FEM), in which the problem domain can be discretized by a set of polygons, each with an arbitrary number of sides…”
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