On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference.
On three-dimensional dynamic problems of generalized thermoelasticity.
On three-dimensional dynamical problems of the generalized theory of elastothermodiffusion.
Optimal design of an elastic beam with a unilateral elastic foundation: semicoercive state problem
A design optimization problem for an elastic beam with a unilateral elastic foundation is analyzed. Euler-Bernoulli's model for the beam and Winkler's model for the foundation are considered. The state problem is represented by a nonlinear semicoercive problem of 4th order with mixed boundary conditions. The thickness of the beam and the stiffness of the foundation are optimized with respect to a cost functional. We establish solvability conditions for the state problem and study the existence of...