A constitutive model for the nonlinear elastic behavior of isotropic low-density opencell foams with three-dimensional structure is formulated in terms of a strain energy function. The theory is based on micromechanical analysis of an idealized tetrahedral unit cell of arbitrary orientation that contains four half-struts joining at equal angles. The force-displacement relations for each strut are expressed by compliances for bending and stretching that do not depend on the magnitude of applied force. Contributions to the strain energy from large deformation effects are assumed to depend on strut reorientation and stretching, and are determined by analyzing a pin-jointed structure. The analysis is considered to be valid for finite strains below the onset of yielding associated with strut buckling.
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June 1991
Research Papers
The Nonlinear Elastic Behavior of Open-Cell Foams
W. E. Warren,
W. E. Warren
Sandia National Laboratories, Albuquerque, NM 87185
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A. M. Kraynik
A. M. Kraynik
Sandia National Laboratories, Albuquerque, NM 87185
Search for other works by this author on:
W. E. Warren
Sandia National Laboratories, Albuquerque, NM 87185
A. M. Kraynik
Sandia National Laboratories, Albuquerque, NM 87185
J. Appl. Mech. Jun 1991, 58(2): 376-381 (6 pages)
Published Online: June 1, 1991
Article history
Received:
April 17, 1989
Revised:
January 25, 1990
Online:
March 31, 2008
Citation
Warren, W. E., and Kraynik, A. M. (June 1, 1991). "The Nonlinear Elastic Behavior of Open-Cell Foams." ASME. J. Appl. Mech. June 1991; 58(2): 376–381. https://doi.org/10.1115/1.2897196
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