Search Results - finite element methods applied to problems in applied mechanics~

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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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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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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Determining the Parameters of Linear Fracture Mechanics in Dynamic Problems Based on Semianalytical Finite-Element Method by Vabishchevich, M. O., Solodei, I. I., Chepurnaya, E. A.

“…The results of studying the reliability and efficiency of the semianalytical finite-element method for determining the parameters of linear fracture mechanics in dynamic problems are presented…”
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A novel Galerkin-like weakform and a superconvergent alpha finite element method (S αFEM) for mechanics problems using triangular meshes by Liu, G.R., Nguyen-Xuan, H., Nguyen-Thoi, T., Xu, X.

“… A superconvergent alpha finite element method (S αFEM) is then formulated by using the constructed strain field and the Galerkin-like weakform for solid mechanics 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 fluid-structure interaction problem in biomechanics: prestressed vibrations of the eye by the finite element method by Coquart, L, Depeursinge, C, Curnier, A, Ohayon, R

“… The numerical model results from a model analysis of the vibrations of the eye using a finite element method (FEM) for discretization…”
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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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Semianalytic Finite-Element Method in Dynamic Problems of Linear Fracture Mechanics by Bazhenov, V. A., Vabishchevich, M. O., Solodei, I. I., Chepurnaya, E. A.

“…An effective approach to the simulation of crack-type fracture is developed based on the semi-analytical finite element method…”
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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 Smoothed Finite Element Method for Mechanics Problems by Liu, G. R., Dai, K. Y., Nguyen, T. T.

“…In the finite element method (FEM), a necessary condition for a four-node isoparametric element is that no interior angle is greater than 180…”
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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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Semianalytic Finite-Element Method in Problems of Nonlinear Continuum Mechanics by Bazhenov, V. A., Gulyar, A. I.

“… on the semianalytic finite-element method generalized to noncanonical bodies. Solutions are obtained to new applied problems in various branches of technology…”
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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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CANONICAL DUAL FINITE ELEMENT METHOD FOR SOLVING NONCONVEX MECHANICS AND TOPOLOGY OPTIMISATION PROBLEMS by ALI, ELAF J.

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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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On Hierarchical Applications of Finite Element Methods and Classical Applied Mechanics Approaches for Complex Structures by Wang, Sheldon, Ndip-Agbor, Ebot, Atamenwan, Enaho

“… fracturing in petroleum industries. Through detailed comparisons at different levels of approximations for both real world complex structural design problem and a simplified stiffened plate with extreme geometrical aspect ratios…”
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Performance of mixed formulations for the particle finite element method in soil mechanics problems by Monforte, Lluís, Carbonell, Josep Maria, Arroyo, Marcos, Gens, Antonio

“… The proposal relies, on one hand, on the particle finite element method (PFEM), known for its capability to tackle large deformations and rapid changing boundaries…”
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Some applications of the mixed finite-element method to the solution of problems in solid mechanics by Chirkov, A. Yu

“…The paper analyzes and considers the application of the mixed finite-element method (FEM…”
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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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