Strain Localization in Elastoplastic Damage Solids
The modeling of strain localization, formation of weak/strong discontinuities and subsequent failure in strain-softening solids and structures, is a challenging issue in the field of continuum and computational me chanics.Despite of its popularity, the classical loss of ellipticity condition is only a necessary, but not a suf ficient condition for the localization band to form.In this work strain localization in inelastic solids is ana lyzed theoretically based on the more physically motivated viewpoint of bounded and locking-free stresses.A more stringent localization condition, i.e.the stress continuity condition, is suggested.This new localization condition states that the strain jump across the localization band has to be completely inelastic so that a stress locking-free discontinuity can develop at the final stage of the failure process.A general inelastic medium is then considered, resulting in a traction-based elastoplastic damage model with the critical orientation of the discontinuity determined by the stress continuity condition.Finally, the analytical results of a mixed Ran kine-Von Mises type loading function is presented, with the classical Rankine model and Von Mises model recovered as its particular cases.
Jianying Wu Miguel Cervera
Department of Civil Engineering, Zhejiang University, Hangzhou, China International Center for Numerical Methods in Engineering (CIMNE), Technical University of Catalonia
国际会议
哈尔滨
英文
497-505
2013-07-06（万方平台首次上网日期，不代表论文的发表时间）