Weak solutions for time-dependent boundary integral equations associated with the bending of elastic plates under combined boundary data. (English) Zbl 1151.74373
Summary: The existence, uniqueness, stability, and integral representation of distributional solutions are investigated for the equations of motion of a thin elastic plate with a combination of displacement and moment-stress components prescribed on the boundary.
MSC:
74K20 | Plates |
74H20 | Existence of solutions of dynamical problems in solid mechanics |
74H25 | Uniqueness of solutions of dynamical problems in solid mechanics |
74H30 | Regularity of solutions of dynamical problems in solid mechanics |