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TECHNICAL PAPERS

Simulations of Crack Propagation in Porous Materials

[+] Author and Article Information
T. Nakamura, Z. Wang

Department of Mechanical Engineering, State University of New York, Stony Brook, NY 11794

J. Appl. Mech 68(2), 242-251 (Jul 26, 2000) (10 pages) doi:10.1115/1.1356029 History: Received December 14, 1999; Revised July 26, 2000
Copyright © 2001 by ASME
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References

Figures

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Relationships between normalized displacement and traction used cohesive model. The shaded areas represent the fracture energy. (a) Normal component for Mode I, (b) tangential component for Mode II.
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(a) Schematic of edge-crack panel used in the error analysis. (b) Top-half of finite element mesh near crack tip. All the elements in this zone are shaped square with the side length equal to 1/400 of the panel width.
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Three cases with different domains where cohesive elements are placed. (a) Case A with cohesive elements only along the crack path; (b) Case B with cohesive elements in 0.04W×0.38W domain; (c) Case C with cohesive elements in 0.1W×0.38W domain.
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Computed results for various reference displacements δn* in Case A. (a) Normalized energy release rate shown as a function of normalized prescribed displacement, (b) normalized load shown as a function of normalized prescribed displacement.
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Computed results for various reference displacements δn* in Case A. (a) Normalized crack advanced distance shown as a function of normalized prescribed displacement, (b) normalized energy release rate shown as a function of normalized crack advance distance.
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Normalized energy release rate for various reference displacements δn*. (a) Case B, (b) Case C.
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(a) Schematic of panel with porous material under tensile load. The starter crack is placed in the center of the panel. (b) Finite element mesh. Regions with porous elements are indicated.
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Sequences of crack growth at three levels of prescribed displacements. Only the region near the starter crack is shown for clarity. The starter crack grows toward neighboring pores.
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Computed results of porous material under tensile load. (a) Load versus displacement. A small drop in the load is due to a large jump in crack length. (b) Effective crack length (crack length profile) versus displacement.
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(a) Schematic of multilayered model with porous coatings. Regions with cohesive elements are indicated. (b) Top part of finite element mesh for the multilayered model.
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Sequences of crack growth at three levels of temperatures. Only the ceramic coating is shown for clarity. The starter crack grows toward neighboring pores.
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Computed results of porous material under temperature increase. (a) average residual stress within porous ceramic coating; (b) effective (apparent) crack length as a function of temperature.

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