Numerical simulation of thermomechanical behaviours of shape memory alloys via a non-linear mesh-free Galerkin formulation Academic Article

abstract

• A new computational approach is developed based on the mesh-free method for the numerical simulation of shape memory alloys. A thermomechanical constitutive model is used to describe the complex material response. The incremental displacement-based mesh-free formulation is constructed in a total Lagrangian description by employing the moving least square shape function and rate form of the shape memory alloy constitutive model in the variational equations. This mesh-free formulation is not only applicable to large deformation problems, but also accounts for both stress and thermally induced phase transformation. Moreover, the newly developed mesh-free codes can deal with complex loading paths and multiple temperature cycles in numerical simulation. The performance of the proposed mesh-free scheme for the simulation of shape memory alloys is demonstrated in several numerical examples. Copyright 2005 John Wiley & Sons, Ltd.

authors

• Reddy, Junuthula

published proceedings

• INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

author list (cited authors)

• Liew, K. M., Ren, J., & Reddy, J. N.

citation count

• 27

complete list of authors

• Liew, KM||Ren, J||Reddy, JN

publication date

• June 2005

publisher

• Wiley  Publisher

published in

• International Journal for Numerical Methods in Engineering  Journal

keywords

• Element Free Galerkin Method
• Mesh-free Method
• Numerical Simulation
• Shape Memory Alloy (SMA)

Digital Object Identifier (DOI)

• 10.1002/nme.1320

start page

• 1014

end page

• 1040

volume

• 63

issue

• 7

URL

• http://dx.doi.org/10.1002/nme.1320