Results 1 to 10 of about 167 (141)
Error analysis of the method of fundamental solutions for linear elastostatics
Journal of Computational and Applied Mathematics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ming-Gong Lee +2 more
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On failure of the complementing condition and nonuniqueness in linear elastostatics [PDF]
Journal of Elasticity, 1985 A homogeneous isotropic body composed of a compressible linearly elastic material is considered. It is assumed that the body is at equilibrium in a state of plane strain. It is well known that the traction problem for such a body has a unique solution, modulo an infinitesimal rigid deformation, provided that \(\mu\) \(\neq 0\), \(\mu +\lambda \neq 0 ...
Henry Simpson +2 more
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Rigorous solution of the problem of the state of a linearly elastic isotropic body under the action of polynomial bulk forces [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 When solving boundary value problems about the construction of the stress-strain state of an linearly elastic, isotropic body, an important step is finding the internal state generated by the forces, distributed over the area occupied by the body. In the
Viktor B. Penkov +2 more
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Pragmatic solvers for 3D Stokes and elasticity problems with heterogeneous coefficients: evaluating modern incomplete LDLT preconditioners [PDF]
Solid Earth, 2020 The need to solve large saddle point systems within computational Earth sciences is ubiquitous. Physical processes giving rise to these systems include porous flow (the Darcy equations), poroelasticity, elastostatics, and highly viscous flows (the Stokes
P. Sanan +3 more
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Mathematics, 2020 We study the asymptotic behavior of solutions with finite energy to the displacement problem of linear elastostatics in a three-dimensional exterior Lipschitz domain.
Vincenzo Coscia
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Advanced Modeling and Simulation in Engineering Sciences, 2020 In the present work, we propose a new approach, the so-called compressed adaptive integration scheme (C-AIS), for the computation of the stiffness and mass matrices in fictitious domain methods requiring the integration of discontinuous functions.
Márton Petö +2 more
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On the Fredholm Property of the Trace Operators Associated with the Elastic Layer Potentials
Mathematics, 2019 We deal with the system of equations of linear elastostatics, governing the equilibrium configurations of a linearly elastic body. We recall the basics of the theory of the elastic layer potentials and we extend the trace operators associated with the ...
Giulio Starita, Alfonsina Tartaglione
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A Note on the Displacement Problem of Elastostatics with Singular Boundary Values
Axioms, 2019 The displacement problem of linear elastostatics in bounded and exterior domains with a non-regular boundary datum a is considered. Precisely, if the elastic body is represented by a domain of class C k ( k ≥ 2 ) of R 3
Alfonsina Tartaglione
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Coupled Finite Volume and Finite Element Method Analysis of a Complex Large-Span Roof Structure
International Journal of Applied Mechanics and Engineering, 2017 The main goal of this paper is to present coupled Computational Fluid Dynamics and structural analysis for the precise determination of wind impact on internal forces and deformations of structural elements of a longspan roof structure. The Finite Volume
J. Szafran, K. Juszczyk, M. Kamiński
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Multiscale deformation analysis by Cauchy-Navier wavelets
Journal of Applied Mathematics, 2003 A geoscientifically relevant wavelet approach is established for the classical (inner) displacement problem corresponding to a regular surface (such as sphere, ellipsoid, and actual earth surface). Basic tools are the limit and jump relations of (linear)
M. K. Abeyratne, W. Freeden, C. Mayer
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