Peter Wrigger's KEYNOTE seminar "Application of virtual elements for simulations in solid mechanics"

Peter_Wriggers_ May_3_2022.pdf (pdf 158 kB)

Abstract. Virtual elements (VEM) were developed during the last decade and applied to various problems in solid mechanics. The method includes elements that can have arbitrary shape including non convex polyhedra. This flexibility with respect to the geometry can be explored and utilized within engineering applications for specific problems.
This lecture will cover several applications of the virtual element method in the area of solids mechanics which are related to
- contact and interfaces,
- fracture using classical and phase field approaches,
- homogenization of polycrystal microstructural response,
- design C1-continuous ansatz spaces for plates and gradient elasticity
For these problem classes we will discuss the pros and cons of virtual elements for efficient, reliable and robust solutions in the engineering world.