On classical dynamics of affinely-rigid bodies subject to the Kirchhoff-Love constraints.
On computer aided shape optimization
On Cosserat continua
On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface
The vibration problem in two variables is derived from the spatial situation (a plate as a three-dimensional body) on the basis of geometrically nonlinear plate theory (using Kármán's hypothesis) and coupled linear thermoelasticity. That leads to coupled strongly nonlinear two-dimensional equilibrium and heat conducting equations (under classical mechanical and thermal boundary conditions). For the generalized problem with subgradient conditions on the boundary and in the domain (including also...
On Determination of Principal Frequencies of Elastic Systems with Many degrees of Freedom by a Method of Successive Approximations
On dual integral equations arising in problems of bending of anisotropic plates.
On dynamics and stability of thin periodic cylindrical shells.
On dynamics of viscoelastic multidimensional medium with variable boundary.
On elastic waves in a medium with randomly distributed cylinders.
On elastic waves in a thin-layered laminated medium with stress couples under initial stress.
On equilibrium finite elements in three-dimensional case
The space of divergence-free functions with vanishing normal flux on the boundary is approximated by subspaces of finite elements that have the same property. The easiest way of generating basis functions in these subspaces is considered.
On existence and behaviour of the solution in quasistatic processes for rate-type viscoplastic models
On Finite Element Methods for Plasticity Problems.
On finite element uniqueness studies for Coulombs frictional contact model
We are interested in the finite element approximation of Coulomb's frictional unilateral contact problem in linear elasticity. Using a mixed finite element method and an appropriate regularization, it becomes possible to prove existence and uniqueness when the friction coefficient is less than Cε^{2}|log(h)|^{-1}, where h and ε denote the discretization and regularization parameters, respectively. This bound converging very slowly towards 0 when h decreases (in comparison with the already known...
On general boundary value problems and duality in linear elasticity. II
The present part of the paper completes the discussion in Part I in two directions. Firstly, in Section 5 a number of existence theorems for a solution to Problem III (principle of minimum potential energy) is established. Secondly, Section 6 and 7 are devoted to a discussion of both the classical and the abstract approach to the duality theory as well as the relationship between the solvability of Problem III and its dual one.
On general boundary value problems and duality in linear elasticity. I
The equilibrium state of a deformable body under the action of body forces is described by the well known conditions of equilibrium, the straindisplacement relations, the constitutive law of the linear theory and the boundary conditions. The authors discuss in detail the boundary conditions. The starting point is the general relation between the vectors of stress and displacement on the boundary which can be expressed in terms of a subgradient relation. It is shown that this relation includes as...
On generalized thermoelastic disturbances in an elastic solid with a spherical cavity.
On global real analytic solutions of the degenerate Kirchhoff equation
On harmonic disturbance rejection of an undamped Euler-Bernoulli beam with rigid tip body
A hybrid flexible beam equation with harmonic disturbance at the end where a rigid tip body is attached is considered. A simple motor torque feedback control is designed for which only the measured time-dependent angle of rotation and its velocity are utilized. It is shown that this control can impel the amplitude of the attached rigid tip body tending to zero as time goes to infinity.
On harmonic disturbance rejection of an undamped Euler-Bernoulli beam with rigid tip body
A hybrid flexible beam equation with harmonic disturbance at the end where a rigid tip body is attached is considered. A simple motor torque feedback control is designed for which only the measured time-dependent angle of rotation and its velocity are utilized. It is shown that this control can impel the amplitude of the attached rigid tip body tending to zero as time goes to infinity.