A non-reflecting layer method for non-linear wave-type equations on unbounded domains with applications to shape memory alloy rods Academic Article uri icon

abstract

  • AbstractIn this paper a new technique is introduced and applied in solving onedimensional linear and nonlinear wavetype equations on an unbounded spatial domain. This new technique referred to as the nonreflecting layer method (NRLM) extends the computational domain with an artificial layer on which a oneway wave equation is solved. The method will be applied to compute stress waves in long rods consisting of NiTi shape memory alloy material subjected to impact loading and undergoing detwinning and pseudoelastic material responses. The NRLM has been tested on model problems and it has been found that the computed solutions agree well with the exact solutions, i.e. normalized error levels are in ranges acceptable for engineering computations. Copyright 2005 John Wiley & Sons, Ltd.

published proceedings

  • INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

author list (cited authors)

  • Newman, M., Safjan, A., Popov, P., & Lagoudas, D. C.

citation count

  • 0

complete list of authors

  • Newman, M||Safjan, A||Popov, P||Lagoudas, DC

publication date

  • April 2005

publisher