Zobrazeno 1 - 10
of 707
pro vyhledávání: '"Neukamm A"'
In this paper, we look at the nonlinear bending theory for thin prestrained elastic sheets with an oscillating periodic structure. We show that all limiting (in the sense of $\Gamma-$convergence) energy functionals which formally correspond to an inf
Externí odkaz:
http://arxiv.org/abs/2410.15679
Autor:
Neukamm, Stefan, Richter, Kai
We rigorously derive an effective bending model for elastoplastic rods starting from three-dimensional finite plasticity. For the derivation we lean on a framework of evolutionary $\Gamma$-convergence for rate-independent systems. The main contributi
Externí odkaz:
http://arxiv.org/abs/2409.08646
Autor:
Neukamm, Stefan, Richter, Kai
In this paper, we study a hyperelastic composite material with a periodic microstructure and a prestrain close to a stress-free joint. We consider two limits associated with linearization and homogenization. Unlike previous studies that focus on comp
Externí odkaz:
http://arxiv.org/abs/2406.04831
Motivated by an application involving additively manufactured bioresorbable polymer scaffolds supporting bone tissue regeneration, we investigate the impact of uncertain geometry perturbations on the effective mechanical properties of elastic rods. T
Externí odkaz:
http://arxiv.org/abs/2304.08785
We study the large-scale behavior of a small-strain lattice model for a network composed of elastoplastic springs with random material properties. We formulate the model as an evolutionary rate independent system (ERIS). In an earlier work we derived
Externí odkaz:
http://arxiv.org/abs/2209.12509
We introduce a nonlinear, one-dimensional bending-twisting model for an inextensible bi-rod that is composed of a nematic liquid crystal elastomer. The model combines an elastic energy that is quadratic in curvature and torsion with a Frank-Oseen ene
Externí odkaz:
http://arxiv.org/abs/2205.15174
The presence of prestrain can have a tremendous effect on the mechanical behavior of slender structures. Prestrained elastic plates show spontaneous bending in equilibrium -- a property that makes such objects relevant for the fabrication of active a
Externí odkaz:
http://arxiv.org/abs/2203.11098
In this paper, we study an elastic bilayer plate composed of a nematic liquid crystal elastomer in the top layer and a nonlinearly elastic material in the bottom layer. While the bottom layer is assumed to be stress-free in the flat reference configu
Externí odkaz:
http://arxiv.org/abs/2203.04010
In mechanical systems it is of interest to know the onset of fracture in dependence of the boundary conditions. Here we study a one-dimensional model which allows for an underlying heterogeneous structure in the discrete setting. Such models have rec
Externí odkaz:
http://arxiv.org/abs/2111.01664
In this paper we study quantitative stochastic homogenization of a nonlinearly elastic composite material with a laminate microstructure. We prove that for deformations close to the set of rotations the homogenized stored energy function $W_{\rm hom}
Externí odkaz:
http://arxiv.org/abs/2106.08585