4.7 Article

Coalescence of voids by internal necking: Theoretical estimates and numerical results

Journal

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 75, Issue -, Pages 140-158

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2014.11.009

Keywords

Coalescence; Porous ductile solids; Numerical limit-analysis; Localization; Homogenization

Funding

  1. National Science Foundation [CMMI-1405226]
  2. NSF International Materials Institute established at Texas AM [DMR-0844082]
  3. Direct For Mathematical & Physical Scien
  4. Division Of Materials Research [0844082] Funding Source: National Science Foundation
  5. Directorate For Engineering
  6. Div Of Civil, Mechanical, & Manufact Inn [1405226] Funding Source: National Science Foundation

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Upper-bound estimates and supposedly exact numerical results are obtained for the limit loads associated with cylindrical cells containing voids and subjected to boundary conditions that are consistent with post-localization kinematics in porous plastic solids. When supplemented with evolution equations for the microstructural variables, the results can be used in the modeling of void coalescence by internal necking in ductile materials. (C) 2014 Elsevier Ltd. All rights reserved.

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