Damage evolution in an expanding/contracting hollow sphere at large strains

Sergei Alexandrov, Yeau Ren Jeng

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


A generalization of one of the classical problems of plasticity theory, expansion/contraction of a hollow sphere, is proposed assuming that the conventional constitutive equations for rigid plastic, hardening material are supplemented with an arbitrary ductile damage evolution law. No restriction is imposed on the hardening law in the analytic part of the solution. The initial/boundary value problem is reduced to two equations in characteristic coordinates. A numerical scheme to solve these equations is proposed. An illustrative example is given.

Original languageEnglish
Pages (from-to)573-580
Number of pages8
JournalContinuum Mechanics and Thermodynamics
Issue number6
Publication statusPublished - 2011 Nov 1

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Physics and Astronomy(all)


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