Zobrazeno 1 - 10
of 110
pro vyhledávání: '"74g15"'
We consider a mixed formulation of parametrized elasticity problems in terms of stress, displacement, and rotation. The latter two variables act as Lagrange multipliers to enforce conservation of linear and angular momentum. Due to the saddle-point s
Externí odkaz:
http://arxiv.org/abs/2410.06975
For the discretization of symmetric, divergence-conforming stress tensors in continuum mechanics, we prove inf-sup stability bounds which are uniform in polynomial degree and mesh size for the Hu--Zhang finite element in two dimensions. This is achie
Externí odkaz:
http://arxiv.org/abs/2409.17414
This work presents a matrix-free finite element solver for finite-strain elasticity adopting an hp-multigrid preconditioner. Compared to classical algorithms relying on a global sparse matrix, matrix-free solution strategies significantly reduce memo
Externí odkaz:
http://arxiv.org/abs/2408.12479
Autor:
Heuer, Norbert
We present an extended framework for hybrid finite element approximations of self-adjoint, positive definite operators. It covers the cases of primal, mixed, and ultraweak formulations, both at the continuous and discrete levels, and gives rise to co
Externí odkaz:
http://arxiv.org/abs/2406.12541
Autor:
Braun, Julian, Buze, Maciej
The elastic field around a crack opening is known to be described by continuum linearised elasticity in leading order. In this work, we explicitly develop the next term in the atomistic asymptotic expansion in the case of a Mode III crack in anti-pla
Externí odkaz:
http://arxiv.org/abs/2403.05462
Computing equilibrium shapes of crystals (ESC) is a challenging problem in materials science that involves minimizing an orientation-dependent (i.e., anisotropic) surface energy functional subject to a prescribed mass constraint. The highly nonlinear
Externí odkaz:
http://arxiv.org/abs/2311.02955
In this paper we consider a mathematical model which describes the equilibrium of two elastic rods attached to a nonlinear spring. We derive the variational formulation of the model which is in the form of an elliptic quasivariational inequality for
Externí odkaz:
http://arxiv.org/abs/2309.04365
We present a fiber-distributed model of the reinforcing collagen of the human cornea. The model describes the basic connections between the components of the tissue by defining an elementary block (cell) and upscaling it to the physical size of the c
Externí odkaz:
http://arxiv.org/abs/2306.14900
Autor:
Lederer, Philip L., Stenberg, Rolf
We consider mixed finite element methods for linear elasticity where the symmetry of the stress tensor is weakly enforced. Both an a priori and a posteriori error analysis are given for several known families of methods that are uniformly valid in th
Externí odkaz:
http://arxiv.org/abs/2206.14610
This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the assumption
Externí odkaz:
http://arxiv.org/abs/2201.04002