Fracture analysis of cellular materials: A strain gradient model
Document Type
Article
Publication Date
1-1-1998
Abstract
A generalized continuum model is developed for cellular materials based on the equivalence of strain energy at the macro-and microscale. It is rather similar to the strain gradient theory, but has a well-defined characteristic length, namely, the cell size. The continuum model enables one to use powerful analytical methods to investigate fracture of cellular materials. The near-tip asymptotic fields and full-field solutions are obtained for cellular materials with hexagonal, triangular, or square lattice. Using the same strain-energy equivalence at the macro-and microscale, displacements and rotation of discrete cell walls are estimated from the continuum near-tip asymptotic fields. By postulating a maximum-tensile-stress failure criterion of cell walls, the fracture toughness of cellular materials is estimated to be proportional to the thickness h of cell walls and inversely proportional to √L, where L is the cell size. Moreover, the mixed-mode fracture toughness can be simply obtained from the fracture toughness in pure mode I and mode II, once the mode mixity is known. It is established that, with the same mass density, the hexagonal or triangular lattice in a cellular material can provide much higher fracture toughness than the square lattice. © 1998 Elsevier Science Ltd. All rights reserved.
Publication Title
Journal of the Mechanics and Physics of Solids
Recommended Citation
Chen, J.,
Huang, Y.,
&
Ortiz, M.
(1998).
Fracture analysis of cellular materials: A strain gradient model.
Journal of the Mechanics and Physics of Solids,
46(5), 789-828.
http://doi.org/10.1016/S0022-5096(98)00006-4
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/7324
