Stability against localization of softening into ellipsoids and bands: Parameter study

摘要: Abstract Strain-localization instabilities due to strain-softening which result from distributed damage such as cracking in heterogeneous brittle materials are analysed. Attention is restricted the stability problem of equilibrium states. This not equivalent bifurcation path, may occur before lost. The continuum local but enhanced by localization limiter used crack band model, consisting a lower bound on minimum dimension strain-localization region, regarded material property. Presented derivations critical state conditions for initially uniform strain into ellipsoidal domains within an infinite and planar layer finite thickness. These simpler than previous Bažant's general these localizations. A numerical parameter study states made broad range properties well various initial stress relative sizes region. described Drucker-Pragcr plasticity with that caused yield limit degradation. Hatter domain, or larger size body (layer thickness), smaller found be slope magnitude at reached. softening Drucker-Prager stable against planar-band localizations certain parameters.