Buckling and wrinkling of thin structures often lead to very complex response curves that are hard follow by standard path-following techniques, especially for membranes in a slack or nearly state. Many recent papers mention numerical difficulties encountered the treatment problems, with procedures these authors switch pseudo-dynamic algorithms. Moreover, modeling many wrinkles leads large size...

The recently developed wave based technique for the analysis of vibro-acoustic problems is a promising prediction tool aiming to bridge the existing mid-frequency gap. Instead of simple polynomial shape functions, this method adopts an indirect Trefftz approach in which it uses the exact solutions of the governing differential equation for the field variable approximations. Since a fine discret...

Abstract This paper proposes a space–time Trefftz method (STM) to study the seepage mechanism and stability of unsaturated slopes. The groundwater flow under transient conditions is important in engineering practice for solving practical problems such as assessing soil Based on equation, we derived basis functions by splitting variables. solutions are approximated using domain. Stabl software s...

Variational formulations that can be employed in the approximation of boundary value problems involving essential and natural boundary conditions are presented in this paper. They are based on trial functions so chosen as to satisfy a priori the governing differential equations of the problem. The essential boundary conditions are used to construct the displacement approximation basis at finite...