Search Results - Numerical approximation of solutions of equilibrium problems in solid mechanics

Solution of solid mechanic equilibrium problems by power series by González, E., Sarrazin, M.

“…The paper presents the application of power series to the numerical solution of equilibrium problems in elasticity…”
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Efficient and reliable solutions of static and dynamic nonlinear structural mechanics problems by an integrated numerical approach using DQFEM and direct time integration with accelerated equilibrium iteration schemes by Chen, C.-N

“…Integrated numerical technique for static and dynamic nonlinear structural problems adopting the equilibrium iteration is proposed…”
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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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Numerical solution of some inverse problems in solid mechanics by Schnur, Deborah Susan

“…This thesis develops numerical methods for solving two inverse problems in solid mechanics…”
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Erratum to `Efficient and reliable solutions of static and dynamic nonlinear structural mechanics problems by an integrated numerical approach using DQFEM and direct time integration with accelerated equilibrium iteration schemes' [Applied Mathematical Modelling 24 (2000) 637–655] by Chen, C.-N

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Mathematical Model for the Numerical Solution of Nonstationary Problems in Solid Mechanics by a Modified Godunov Method by Kolmogorov, V. L., Makotra, O. A., Moiseev, N. Ya

“…A mathematical model of substance behavior under developed elastoplastic strains is worked out for solving one-dimensional problems of solid mechanics…”
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Construction of the equations of state for polycrystalline solids for the purpose of the numerical solution of problems of continuous medium mechanics by Ostrik, A V, Nikolaev, D N

“… These equations are convenient for the numerical solution of problems of continuous medium mechanics…”
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On the numerical solution of equilibrium problems for elastic solids with bounded tensile strength by Lucchesi, Massimiliano, Padovani, Cristina, Pasquinelli, Giuseppe

“…This paper proposes a numerical method for the solution of equilibrium problems of elastic solids with bounded tensile strength…”
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Stability and Numerical Analysis of Micropolar Viscoelastic Systems by Bazarra, Noelia, Fernández, José R., Fernández Sare, Hugo D., Quintanilla, Ramón

“… Then, the polynomial energy decay is obtained applying a characterization of the system operator. In a second part, we consider the numerical approximation of a variational version of the above problem…”
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Global Solutions for Incompressible Viscoelastic Fluids by lei, Zhen, Liu, Chun, Zhou, Yi

“…We prove the existence of both local and global smooth solutions to the Cauchy problem in the whole space and the periodic problem in the n -dimensional torus for the incompressible viscoelastic…”
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Numerical method for solving of ill-conditioned boundary value problems in nonlinear elasticity by Brigadnov, Igor A.

“…) in two weak variational forms: as the static equilibrium equation and as the minimization problem for energy…”
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Equilibrium Configurations of Epitaxially Strained Crystalline Films: Existence and Regularity Results by Fonseca, I., Fusco, N., Leoni, G., Morini, M.

“… After specifying the functional setup in which the existence problem can be properly framed, a study of the qualitative properties of the solutions is undertaken…”
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Non-Fourier computations of heat and mass transport in nanoscale solid-fluid interactions using the Galerkin finite element method by Alsenafi, Abdulaziz, Alazemi, Fares, Nawaz, M.

“… (GFEM) to thermal problems. Design/methodology/approach The mathematical models are developed using novel non-Fourier heat flux theory, conservation laws of computational fluid dynamics (CFD…”
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An efficient methodology for complementary finite element approximations in three‐dimensional elasticity by Moitinho de Almeida, J. P., Reis, Jonatha

“…We present a methodology for the definition of the matrices involved in stress based finite element approximations in three…”
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High-order numerical scheme for compressible multi-component real gas flows using an extension of the Roe approximate Riemann solver and specific Monotonicity-Preserving constraints by Lecointre, Luc, Vicquelin, Ronan, Kudriakov, Sergey, Studer, Etienne, Tenaud, Christian

“…, assuming a local thermodynamic equilibrium. We first propose a generalization of the Roe solver for distinct species with non-ideal thermodynamic properties that relies on the original method proposed by Vinokur & Montagné [1…”
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Two-dimensional turbulence above topography: condensation transition and selection of minimum enstrophy solutions by Gallet, Basile

“… (or minimum enstrophy) hypothesis of Bretherton and Haidvogel. We derive a ‘condensed branch’ of solutions to the variational problem where a domain-scale condensate coexists with a flow…”
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A new approach to numerical simulation of boundary value problems of the theory of elasticity in stresses and strains by Khaldjigitov, Abduvali, Djumayozov, Umidjon, Tilovov, Otajon

“… Unfortunately, all boundary value problems are formulated and solved in solid mechanics mainly with respect to displacements, or an additional stress functions…”
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Ensemble of physics-informed neural networks for solving plane elasticity problems with examples by Mouratidou, Aliki D., Drosopoulos, Georgios A., Stavroulakis, Georgios E.

“…Two-dimensional (plane) elasticity equations in solid mechanics are solved numerically with the use of an ensemble of physics-informed neural networks (PINNs…”
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A relaxation-projection method for compressible flows. Part I: The numerical equation of state for the Euler equations by Saurel, Richard, Franquet, Erwin, Daniel, Eric, Le Metayer, Olivier

“… It consists in the resolution of a mechanical relaxation problem between the various sub-volumes present in a computational cell…”
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Recovering local equilibrium from three‐dimensional compatible finite element solutions by Moitinho de Almeida, J. P., Maunder, E. A. W.

“…SUMMARY We study the application to compressible and incompressible three‐dimensional elasticity problems of the technique that we proposed in 2009 for the recovery of equilibrated stresses from compatible finite element solutions…”
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