Kuttler, Kenneth Quasistatic evolution of damage in an elastic-viscoplastic material. (English) Zbl 1082.74005 Electron. J. Differ. Equ. 2005, Paper No. 147, 25 p. (2005). Summary: The mathematical theory of quasistatic elastic viscoplastic models with damage is studied. The existence of the unique local weak solution is established by using approximate problems and a priori estimates. Pointwise estimates on the damage are obtained using a new comparison technique which removes the necessity of including a subgradient term in the equation for damage. Cited in 10 Documents MSC: 74A45 Theories of fracture and damage 74R20 Anelastic fracture and damage 74H20 Existence of solutions of dynamical problems in solid mechanics 74H25 Uniqueness of solutions of dynamical problems in solid mechanics 35Q72 Other PDE from mechanics (MSC2000) Keywords:local weak solution; a priori estimates; comparison technique PDFBibTeX XMLCite \textit{K. Kuttler}, Electron. J. Differ. Equ. 2005, Paper No. 147, 25 p. (2005; Zbl 1082.74005) Full Text: EuDML EMIS