A variational formulation and investigation of boundary-value problems of the non-linear theory of plates using an energy approach
β Scribed by Ya.I Burak; G.I Moroz
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 423 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0021-8928
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β¦ Synopsis
A variational formulation of boundary-value problems of the non-linear dynamic theory of elasticity using the Hamilton functional is presented. The quasi-static boundary-value problem for thin plates is considered. The initial system of equations, in a twodimensional formulation, is represented in terms of generalized forces and displacements. The sufficient conditions for the existence and uniqueness of a weak solution are established.
π SIMILAR VOLUMES
## Abstract This is the second part of an article that is devoted to the theory of nonβlinear initial boundary value problems. We consider coupled systems where each system is of higher order and of hyperbolic or parabolic type. __Our goal is to characterize systematically all admissible couplings
A new partitioning of the total non-relativistic energy of an N-electron system is presented. The partitioning is independent of application involving a non-variational approach to calculating the the mathematical model used to describe the system. An energy is given.