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原文传递 Uniaxial Nonlocal Formulation for Geometric Nonlinearity–Induced Necking and Buckling Localization in a Steel Bar
题名: Uniaxial Nonlocal Formulation for Geometric Nonlinearity–Induced Necking and Buckling Localization in a Steel Bar
其他题名: Armero,F.,and Ehrlich,D.(2004)."An analysis of strain localization and wave propagation in plastic beams at failure."Comput.Meth.Appl.Mech.Eng.,193,3129–3171.
正文语种: 英文
作者: Subodh Kolwankar
关键词: Fiber models;Localization;Nonlocal formulations;Frame elements;Metal and composite structures
摘要: A nonlocal formulation with the potential to mitigate mesh dependence in fiber models for steel elements is presented. The formulation addresses two common modes of localization in prismatic steel bars: tension necking and compression buckling. These modes are induced by geometric nonlinearity, unlike those addressed by previous nonlocal formulations that focus on localization induced by material softening. Continuum finite element (FE) simulations are conducted to provide benchmark data for development as well as validation of the nonlocal formulation. The nonlocal formulation is implemented through a one-dimensional (1D) line-element-based structural model and has the following features: (1) a uniaxial stress-strain relationship with softening; (2) a length scale representing the necking or buckling process; (3) a volume-averaged nonlocal strain measure that incorporates this length scale; and (4) an imperfection pattern. For both necking and buckling, the nonlocal formulation successfully mitigates mesh dependence shown by the local models, implying that it can reproduce softening load deformation response accurately regardless of mesh discretization. Additionally, comparison to FE benchmark data indicates that the nonlocal formulation is able to characterize the strains inside the localized zone. This latter observation has important implications for simulation of fracture or fatigue that originates in zones of localized strains, such as during cyclic buckling of rebar or local buckling-induced fracture in rolled shapes. Limitations of the study are outlined, identifying challenges for incorporation into fiber models for beam-column elements.
出版年: 2017
论文唯一标识: P-26Y2017V143N09015
英文栏目名称: TECHNICAL PAPERS
doi: 10.1061/(ASCE)ST.1943-541X.0001827
期刊名称: Journal of Structural Engineering
拼音刊名(出版物代码): P-26
卷: 143
期: 09
页码: 161-173
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