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

Parametrized formulations of Hamilton's law for numerical solutions of dynamic problems: Part II. Time finite element approximation by Sheng, G., Fung, T. C., Fan, S. C.

“… In part II of this paper, we extend the formulations to a proper form to develop high-performance time finite elements for numerical solutions of dynamic problems…”
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Parametrized formulations of Hamilton's law for numerical solutions of dynamic problems: Part I. Global approximation by Sheng, G., Fung, T. C., Fan, S. C.

“…Many dynamic problems can be solved numerically by using Hamilton's law. The solution is expressed as a series in the time domain with undetermined coefficients…”
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Numerical analysis of dissipative dynamical systems in solid and fluid mechanics, with a special emphasis on coupled problems by Armero Rovira, Francisco

“… in solid and fluid mechanics, with special emphasis on coupled problems. The first part focuses on coupled thermomechanical problems in solid mechanics, ranging from linearized thermoelasticity to finite strain thermoplasticity…”
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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 Solutions to Dynamic Portfolio Problems: The Case for Value Function Iteration using Taylor Approximation by Garlappi, Lorenzo, Skoulakis, Georgios

“…) is inferior to portfolio weight iteration (PWI), when a Taylor approximation is used. In particular, they report that the value function iteration produces highly inaccurate solutions when risk aversion is high and the investment horizon long…”
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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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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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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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NUMERICAL SOLUTION OF THE PROBLEM OF DEFORMATION OF ELASTIC SOLIDS UNDER PULSED LOADING by Bogulskii, I. O., Volchkov, Yu. M.

“…Three methods of approximation of lower non-differential terms in equations of dynamic problems of mechanics of deformable solids are studied with the use of explicit algorithms…”
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A Discontinuous Galerkin Material Point Method for the solution of impact problems in solid dynamics by Renaud, Adrien, Heuzé, Thomas, Stainier, Laurent

“… A solid domain is represented by a collection of particles that can move and carry the fields of the problem inside an arbitrary computational grid in order to provide a Lagrangian description…”
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The u‐p approximation versus the exact dynamic equations for anisotropic fluid‐saturated solids. I. Hyperbolicity by Osinov, Vladimir A.

“…The numerical solution of dynamic problems for porous fluid‐saturated solids is often performed with the use of simplified equations known as the u‐p approximation…”
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Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations by Carlberg, Kevin, Bou-Mosleh, Charbel, Farhat, Charbel

“…‐linear static or dynamic computational model in view of enabling its processing in real time. The right reduced…”
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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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The neural particle method – An updated Lagrangian physics informed neural network for computational fluid dynamics by Wessels, Henning, Weißenfels, Christian, Wriggers, Peter

“… Up to date, no general purpose numerical method is available which can accurately resolve a variety of physics ranging from fluid to solid mechanics including large deformations and free surface flow phenomena…”
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Accurate data‐driven surrogates of dynamical systems for forward propagation of uncertainty by De, Saibal, Jones, Reese E., Kolla, Hemanth

“… This work presents an alternative approach, where we apply the SC approximation over the dynamics of the model, rather than the solution…”
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Acceleration of diffusive molecular dynamics simulations through mean field approximation and subcycling time integration by Sun, X., Ariza, M.P., Ortiz, M., Wang, K.G.

“… a nonlinear optimization problem at every time-step. This paper presents two numerical methods…”
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A mixed variational approach for modeling frictional contact problems with normal compliance in electro-elasticity by Benkhira, El Hassan, El Yamouni, Ouiame, Fakhar, Rachid, Mandyly, Youssef

“… This contact is described by a reduced normal compliance law. To address this problem, we establish a mixed variational formulation and prove the existence of a unique solution…”
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Truly monolithic algebraic multigrid for fluid-structure interaction by Gee, M. W., Küttler, U., Wall, W. A.

“… Many different solution schemes have been proposed. In this contribution, we concentrate on the strong coupling fluid…”
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