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

A vertex-based finite volume method applied to non-linear material problems in computational solid mechanics by Taylor, G. A., Bailey, C., Cross, M.

“…A vertex‐based finite volume (FV) method is presented for the computational solution of quasi…”
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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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The hp-d-adaptive finite cell method for geometrically nonlinear problems of solid mechanics by Schillinger, D., Düster, A., Rank, E.

“…‐version of the finite element method and adaptive integration. For problems of linear elasticity, it offers high convergence rates and simple mesh generation, irrespective of the geometric complexity involved…”
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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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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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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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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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Formulation of fuzzy finite-element methods for solid mechanics problems: Fuzzy modeling by MUHANNA, R. L, MULLEN, R. L

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Probabilistic finite element methods for problems in solid mechanics by Dias, Joao Luis de Barros

“…A general strategy for the development of probabilistic finite element methods in solid mechanics is presented…”
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Finite cell method: h- and p-extension for embedded domain problems in solid mechanics by Parvizian, Jamshid, Düster, Alexander, Rank, Ernst

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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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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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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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Combining Set Propagation with Finite Element Methods for Time Integration in Transient Solid Mechanics Problems by ets, Marcelo, Daniel Freire Caporale, Pérez Zerpa, Jorge M

“…The Finite Element Method (FEM) is the gold standard for spatial discretization in numerical simulations for a wide spectrum of real-world engineering problems…”
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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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Combining set propagation with finite element methods for time integration in transient solid mechanics problems by Forets, Marcelo, Freire Caporale, Daniel, Pérez Zerpa, Jorge M.

“…•An efficient open source toolkit is implemented using JuliaReach and ONSAS. The Finite Element Method (FEM…”
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The application of the multigrid method to the finite element solution of solid mechanics problems by Parsons, Ian Dennis

“…A multigrid algorithm is described that can be used to obtain the finite element solution of linear elastic solid mechanics problems…”
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Developments in The Extended Finite Element Method & Algebraic Multigrid for Solid Mechanics Problems Involving Discontinuities by Hiriyur, Badri Krishna Jainath

“…In this dissertation, some contributions related to computational modeling and solution of solid mechanics problems involving discontinuities are discussed…”
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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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The finite cell method for three-dimensional problems of solid mechanics by Düster, A., Parvizian, J., Yang, Z., Rank, E.

“…This article presents a generalization of the recently proposed finite cell method to three-dimensional problems of linear elasticity…”
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