The inf-sup condition and error estimates for the Arnold-Falk plate bending element.
The interface crack with Coulomb friction between two bonded dissimilar elastic media
We study a model of interfacial crack between two bonded dissimilar linearized elastic media. The Coulomb friction law and non-penetration condition are assumed to hold on the whole crack surface. We define a weak formulation of the problem in the primal form and get the equivalent primal-dual formulation. Then we state the existence theorem of the solution. Further, by means of Goursat-Kolosov-Muskhelishvili stress functions we derive convergent expansions of the solution near the crack tip.
The kinematic and dynamic properties of seismic waves in the neighbourhood of caustics
The Korn inequality for Jones domains.
The large deformation of nonlinearly elastic shells in axisymmetric flows
The Laws Of Conservation Of One Dimensional Motion Of Nonlinear Continuum
The laws of conservation of one dimensional motion of nonlinear continuum.
The lightest plane structures of a bounded stress level transmitting a point load to a circular support
The Magic World of Geometry - III. The Dirac String Problem.
The Mean-Variance-CVaR model for Portfolio Optimization Modeling using a Multi-Objective Approach Based on a Hybrid Method
In this paper we present a new hybrid method, called SASP method. We propose the hybridization of two methods, the simulated annealing (SA), which belong to the class of global optimization based on the principles of thermodynamics, and the descent method were we estimate the gradient using the simultaneous perturbation. This hybrid method gives better results. We use the Normal Boundary Intersection approach (NBI) based on the SASP method to solve...
The method of a small parameter for the shallow shells.
The method of fictitious domains in the Signorini problem.
The method of phase integrals in a plane problem of elasticity for inhomogeneous bodies
The method of Rothe and two-scale convergence in nonlinear problems
Modelling of macroscopic behaviour of materials, consisting of several layers or components, cannot avoid their microstructural properties. This article demonstrates how the method of Rothe, described in the book of K. Rektorys The Method of Discretization in Time, together with the two-scale homogenization technique can be applied to the existence and convergence analysis of some strongly nonlinear time-dependent problems of this type.
The method of smooth domains in the equilibrium problem for a plate with a crack.
The minimal perimeter for confined deformable bubbles of equal area.
The nonconforming finite element method in the problem of clamped plate with ribs
The nonlinear instability modes of dished shallow shells under circular line loads.
The nonlinear membrane model : a Young measure and varifold formulation
We establish two new formulations of the membrane problem by working in the space of -Young measures and -varifolds. The energy functional related to these formulations is obtained as a limit of the formulation of the behavior of a thin layer for a suitable variational convergence associated with the narrow convergence of Young measures and with some weak convergence of varifolds. The interest of the first formulation is to encode the oscillation informations on the gradients minimizing sequences...
The nonlinear membrane model: a Young measure and varifold formulation
We establish two new formulations of the membrane problem by working in the space of -Young measures and -varifolds. The energy functional related to these formulations is obtained as a limit of the 3d formulation of the behavior of a thin layer for a suitable variational convergence associated with the narrow convergence of Young measures and with some weak convergence of varifolds. The interest of the first formulation is to encode the oscillation informations on the gradients minimizing...