Regularity of solutions in plasticity. I: Continuum

• Autorzy: Jarosław L. Bojarski
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to study the problem of regularity of solutions in Hencky plasticity. We consider a non-homogeneous material whose elastic-plastic properties change discontinuously. We prove that the displacement solutions belong to the space $LD(Ω) ≡ {u ∈ L¹(Ω,ℝⁿ) | ∇u + (∇u)^{T} ∈ L¹(Ω,ℝ^{n×n})}$ if the stress solution is continuous and belongs to the interior of the set of admissible stresses, at each point. The part of the functional which describes the work of boundary forces is relaxed.

Kategorie tematyczne

• 49J45: Methods involving semicontinuity and convergence; relaxation
• 49K30: Optimal solutions belonging to restricted classes
• 49N60: Regularity of solutions
• 74C05: Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2003
• Tom: 30
• Numer: 3
• Strony: 337-364

Daty

wydano

2003

Twórcy

autor

Jarosław L. Bojarski

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa, Poland

Identyfikatory

DOI

10.4064/am30-3-8