Title: Eulerian Finite-Difference Simulations of Hyper-Elastic and Elastic-Plastic Flows

Speaker: David Hill, California Institute of Technology

Date/Time: Monday, August 10, 2009 at 10:30-11:30 a.m.      

Location: CSRI Building, Room 90 (Sandia NM)

Brief Abstract: The past three decades have seen much activity in the development of Eulerian based numerical techniques for computing gas flows in the presence of strong shocks and other discontinuities such as material contacts.  More recently there has been much interest in adapting these successful approaches to computational solid mechanics, particularly the simulation of hyper-elastic and elastic-plastic flows with large deformations and shock loading.  In a hyper-elastic formulation, the constitutive law is encapsulated in the formulation of the internal energy and its dependence on local gradients of the material deformation.

Much of the recent work in computational Eulerian solid mechanics has focused on finite volume schemes.  Such schemes are based on the solutions a Riemann problem at mathematical characteristics of the hyperbolic system  In this talk, I will present on-going work in using a much simpler finite-difference formulation that allows for the use of a wide range of constitutive laws as no explicit characteristic-based information is computed.

CSRI POC: Bill Rider (505) 844-1572