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

abstract

• In this paper a new technique is introduced and applied in solving one-dimensional linear and nonlinear wave-type equations on an unbounded spatial domain. This new technique referred to as the non-reflecting layer method (NRLM) extends the computational domain with an artificial layer on which a one-way 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 pseudo-elastic 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.

authors

• Lagoudas, Dimitris

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

• January 2005

publisher

• Wiley  Publisher

published in

• International Journal for Numerical Methods in Engineering  Journal

keywords

• Shape Memory Alloys
• Unbounded Domains
• Wave Equation

Digital Object Identifier (DOI)

• 10.1002/nme.1223

start page

• 2053

end page

• 2085

volume

• 62

issue

• 15

URL

• http%3A%2F%2Fdx.doi.org%2F10.1002%2Fnme.1223