MATERIAL RATE DEPENDENCE AND MESH SENSITIVITY IN LOCALIZATION PROBLEMS Academic Article

abstract

• The role of material rate dependence in setting the character of governing equations is illustrated in the context of a simple one-dimensional problem. For rate-dependent solids, the incremental equilibrium equations for quasi-static problems remain elliptic and wave speeds for dynamic problems remain real, even in the presence of strain-softening. The pathological mesh sensitivity associated with numerical solutions of localization problems for rate-independent solids is eliminated. In effect, material rate dependence implicity introduces a length scale into the governing equations, although the constitutive description does not contain a parameter with the dimensions of length. Numerical results are presented that illustrate the localization behavior of slightly rate-dependent solids under both quasi-static and dynamic loading conditions. 1988.

authors

• Needleman, Alan

published proceedings

• COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

author list (cited authors)

• NEEDLEMAN, A.

citation count

• 712

complete list of authors

• NEEDLEMAN, A

publication date

• January 1988

publisher

• Elsevier  Publisher

published in

• Computer Methods in Applied Mechanics and Engineering  Journal

keywords

• Brain Disorders

Digital Object Identifier (DOI)

• 10.1016/0045-7825(88)90069-2

start page

• 69

end page

• 85

volume

• 67

issue

• 1