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

Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua by Challamel, Noël, Picandet, Vincent, Collet, Bernard, Michelitsch, Thomas, Elishakoff, Isaac, Wang, C.M.

“…In this paper, we revisit the capability of numerical approaches such as finite difference methods and finite element methods, in approximating exact one-dimensional continuous eigenvalue problems…”
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Meshless Local Petrov-Galerkin (MLPG) Mixed Finite Difference Method for Solid Mechanics by Atluri, S N, Liu, H T, Han, Z D

“…The Finite Difference Method (FDM), within the framework of the Meshless Local Petrov-Galerkin (MLPG…”
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Radial point interpolation based finite difference method for mechanics problems by Liu, G. R., Zhang, Jian, Li, Hua, Lam, K. Y., Kee, Bernard B. T.

“…A radial point interpolation based finite difference method (RFDM) is proposed in this paper…”
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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 vertex-based finite volume method applied to non-linear material problems in computational solid mechanics by Taylor, G. A., Bailey, C., Cross, M.

“…‐static solid mechanics problems involving material non‐linearity and infinitesimal strains…”
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A NUMERICAL METHOD FOR SOLVING WAVE PROBLEMS IN SOLID MECHANICS (ELASTODYNAMICS, LIMITING AMPLITUDE PRINCIPLE, FINITE DIFFERENCE) by SCANDRETT, CLYDE LOWELL

“… All problems are solved by an explicit finite difference formulation of equations governing each of the scattering…”
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Differential quadrature finite difference method for structural mechanics problems by Chen, Chang-New

“…The differential quadrature finite difference method (DQFDM) has been proposed by the author…”
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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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Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua by Challamel, Noël, Picandet, Vincent, Collet, Bernard, Michelitsch, Thomas, Elishakoff, Isaac, Wang, C.M.

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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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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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