Calcul des charges limites d'une structure élastoplastique en contraintes planes
Cartesian currents and variational problems for mappings into spheres
Computation of displacements for nonlinear elastic beam models using monotone iterations.
Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation.
Contact between elastic bodies. III. Dual finite element analysis
The problem of a unilateral contact between elastic bodies with an apriori bounded contact zone is formulated in terms of stresses via the principle of complementary energy. Approximations are defined by means of self-equilibriated triangular block-elements and an -error estimate is proven provided the exact solution is regular enough.
Contact problems with bounded friction. Semicoercive case
Convergence analysis of the iterative methods for quasi-complementarity problems.
Convergence of an equilibrium finite element model for plane elastostatics
An equilibrium triangular block-element, proposed by Watwood and Hartz, is subjected to an analysis and its approximability property is proved. If the solution is regular enough, a quasi-optimal error estimate follows for the dual approximation to the mixed boundary value problem of elasticity (based on Castigliano's principle). The convergence is proved even in a general case, when the solution is not regular.
Critical points in the energy of hyperelastic materials
Curved composite beam with interlayer slip loaded by radial load
Elastic two-layer curved composite beam with partial shear interaction is considered. It is assumed that each curved layer separately follows the Euler-Bernoulli hypothesis and the load slip relation for the flexible shear connection is a linear relationship. The curved composite beam at one of the end cross sections is fixed and the other end cross section is subjected by a concentrated radial load. Two cases are considered. In the first case the loaded end cross section is closed by a rigid plate...