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Fracture analysis of cellular materials: A strain gradient model

Chen, J. Y. and Huang, Y. and Ortiz, M. (1998) Fracture analysis of cellular materials: A strain gradient model. Journal of the Mechanics and Physics of Solids, 46 (5). pp. 789-828. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-101038312

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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 1 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/S0022-5096(98)00006-4DOIArticle
https://www.sciencedirect.com/science/article/pii/S0022509698000064PublisherArticle
Additional Information:© 1998 Elsevier. Received 24 September 1997, Revised 16 December 1997, Available online 15 July 1998. Y.H. gratefully acknowledges helpful discussions with R. M. Christensen and the financial support from U.S. National Science Foundation (Grant #INT-94-23964 and #CMS-96-10491) and from National Natural Science Foundation of China.
Group:GALCIT
Funders:
Funding AgencyGrant Number
NSFINT-94-23964
NSFCMS-96-1049
National Natural Science Foundation of ChinaUNSPECIFIED
Subject Keywords:fracture; cellular materials; strain gradient
Record Number:CaltechAUTHORS:20171213-101038312
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20171213-101038312
Official Citation:J.Y. Chen, Y. Huang, M. Ortiz, Fracture analysis of cellular materials: A strain gradient model, In Journal of the Mechanics and Physics of Solids, Volume 46, Issue 5, 1998, Pages 789-828, ISSN 0022-5096, https://doi.org/10.1016/S0022-5096(98)00006-4. (http://www.sciencedirect.com/science/article/pii/S0022509698000064)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83876
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:13 Dec 2017 19:50
Last Modified:13 Dec 2017 19:50

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