A Family of Higher Order Mixed Finite Element Methods for Plane Elasticity.
Analysis of a quasicontinuum method in one dimension
The quasicontinuum method is a coarse-graining technique for reducing the complexity of atomistic simulations in a static and quasistatic setting. In this paper we aim to give a detailed a priori and a posteriori error analysis for a quasicontinuum method in one dimension. We consider atomistic models with Lennard–Jones type long-range interactions and a QC formulation which incorporates several important aspects of practical QC methods. First, we prove the existence, the local uniqueness...
Application of the matrix algebra to contact problems in railways
Approximation and numerical solution of contact problems with friction
The present paper deals with numerical solution of the contact problem with given friction. By a suitable choice of multipliers the whole problem is transformed to that of finding a saddle-point of the Lagrangian function on a certain convex set . The approximation of this saddle-point is defined, the convergence is proved and the rate of convergence established. For the numerical realization Uzawa’s algorithm is used. Some examples are given in the conclusion.
Computational methods for estimation in the modeling of nonlinear elastomers
Dual finite element analysis for contact problem of elastic bodies with an enlarging contact zone
Dual finite element analysis of the contact problem of two elastic bodies with an enlarging contact zone is presented. Approximations of the solution are defined on two types of triangulations by piecewise constant stress fields. Convergence is proved in both cases.
Finite element methods for coupled thermoelasticity and coupled consolidation of clay
Incremental methods in nonlinear, three-dimensional, incompressible elasticity
Interior and exterior solutions for boundary value problems in composite elastic and viscous media.
Kam kráčí výpočtová mechanika?
Least square method for solving contact problems with friction obeying the Coulomb law
The paper deals with numerical realization of contact problems with friction obeying the Coulomb law. The original problem is formulated as the fixed-point problem for a certain operator generated by the variational inequality. This inequality is transformed to a system of variational nonlinear equations generating other operators, in a sense "close" to the above one. The fixed-point problem of these operators is solved by the least-square method in which equations and the corresponding quadratic...
Numerical Analysis of the Equations of Small Strains Quasistatic Elastoviscoplasticity.
On computer aided shape optimization
On models of long-term behavior of concrete
Long-term behavior of concrete is modeled by several widely accepted models, such as B3, fib MC 2010, or ACI 209 whose input parameters and output values are not identical to each other. Moreover, the input and, consequently, the output values are uncertain. In this paper, fuzzy input parameters are considered in uncertainty quantification of each model response and, finally, the sets of responses are analyzed by elementary tools of evidence theory. That is, belief and plausibility functions are...
On the Numerical Analysis of the Von Karman Equations : Mixed Finite Element Approximation and Continuation Techniques.
Superconvergence for a Mixed Finite Element Method for Elastic Wave Propagation in a Plane Domain.
The unbonded contact problem of a rectangular plate resting on an elastic foundation
In questo lavoro viene analizzato il problema di equilibrio statico di una piastra rettangolare in contatto unilaterale e senza attrito con un mezzo elastico. Si esaminano i due modelli di fondazione alla Winkler e di semispazio elastico. Il problema viene risolto mediante discretizzazione agli elementi finiti utilizzando un approccio di tipo «penalty». La rapida convergenza del metodo e la sua efficienza sono dimostrate dagli esempi studiati, che riguardano sia piastre quadrate che rettangolari...
Two mixed finite element methods for the simply supported plate problem
Une méthode numérique pour les problèmes d'équilibre de corps hyperélastiques compressibles en grandes déformations.
Волны напряжений в многослойных пластинах