Zobrazeno 1 - 10
of 138
pro vyhledávání: '"74K25"'
Autor:
Breit, Dominic, Roy, Arnab
We consider the interaction of a compressible fluid with a flexible plate in two space dimensions. The fluid is described by the Navier--Stokes equations in a domain that is changing in accordance with the motion of the structure. The displacement of
Externí odkaz:
http://arxiv.org/abs/2411.01994
Autor:
Li, Hui
We derive a new version of the von K\'arm\'an energy and the corresponding Euler-Langrange equations, in the context of thin prestrained plates, under the condition of incompressibility relative to the given prestrain. Our derivation uses the theory
Externí odkaz:
http://arxiv.org/abs/2411.02786
Autor:
Li, Hui
We derive the variational limiting theory of thin films, parallel to the F\"oppl-von K\'arm\'an theory in the nonlinear elasticity, for films that have been prestrained and whose thickness is a general non-constant function. Using $\Gamma$-convergenc
Externí odkaz:
http://arxiv.org/abs/2411.02777
Autor:
de Saxcé, Géry
Our aim is to develop a general approach for the dynamics of material bodies of dimension d represented by a mater manifold of dimension (d + 1) embedded into the space-time. It can be declined for d = 0 (pointwise object), d = 1 (arch if it is a sol
Externí odkaz:
http://arxiv.org/abs/2411.11860
Autor:
Jikumaru, Yoshiki
In this paper, we show that symmetries, which are known in the theory of integrable systems, naturally appeared in the classical linear theory of deformations of thin shells. Our result shows that if the middle surface of a shell becomes `integrable'
Externí odkaz:
http://arxiv.org/abs/2406.05997
The design of effective and compact energy absorption systems is key to the survivability and durability of many man-made structures and machines. To this end, this work presents the design, assessment, and implementation of a novel origami-inspired
Externí odkaz:
http://arxiv.org/abs/2311.14458
Autor:
Heuer, Norbert, Linß, Torsten
We analyse a finite-element discretisation of a differential equation describing an axisymmetrically loaded thin shell. The problem is singularly perturbed when the thickness of the shell becomes small. We prove robust convergence of the method in a
Externí odkaz:
http://arxiv.org/abs/2306.12952
Publikováno v:
Forum of Mathematics, Sigma. 2024;12:e43
We prove a stability result of isometric immersions of hypersurfaces in Riemannian manifolds, with respect to $L^p$-perturbations of their fundamental forms: For a manifold $M^d$ endowed with a reference metric and a reference shape operator, we show
Externí odkaz:
http://arxiv.org/abs/2306.06654
Autor:
Tomassetti, Giuseppe
In this tutorial, we provide a coordinate-free derivation of the system of equations that govern equilibrium of a thin shell that can undergo shear. This system involves tensorial fields representing the internal force and couple per unit length that
Externí odkaz:
http://arxiv.org/abs/2305.08884
Autor:
Neunteufel, Michael, Schöberl, Joachim
In this paper we extend the recently introduced mixed Hellan-Herrmann-Johnson (HHJ) method for nonlinear Koiter shells to nonlinear Naghdi shells by means of a hierarchical approach. The additional shearing degrees of freedom are discretized by H(cur
Externí odkaz:
http://arxiv.org/abs/2304.13806