Uniaxial Nonlocal Formulation for Geometric Nonlinearity–Induced Necking and Buckling Localization in a Steel Bar

Kolwankar, Subodh; Kanvinde, Amit; Kenawy, Maha; Kunnath, Sashi K.

doi:10.1061/(asce)st.1943-541x.0001827

Cited by 22 publications

(3 citation statements)

References 41 publications

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“…Kolwankar et al [ 84 ] presented a uniaxial nonlocal formulation for prismatic steel bars. In this formulation, the nonlocal strain was determined using Equations (6) and (31) by considering a bell-shaped weight function.…”

Section: Nonlocal Theories In Fatigue Evaluationmentioning

confidence: 99%

A Review on Nonlocal Theories in Fatigue Assessment of Solids

2023

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A review of nonlocal theories utilized in the fatigue and fracture modeling of solid structures is addressed in this paper. Numerous papers have been studied for this purpose, and various nonlocal theories such as the nonlocal continuum damage model, stress field intensity model, peridynamics model, elastic-plastic models, energy-based model, nonlocal multiscale model, microstructural sensitive model, nonlocal lattice particle model, nonlocal high cycle fatigue model, low cycle fatigue model, nonlocal and gradient fracture criteria, nonlocal coupled damage plasticity model and nonlocal fracture criterion have been reviewed and summarized in the case of fatigue and fracture of solid structures and materials.

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Section: Nonlocal Theories In Fatigue Evaluationmentioning

confidence: 99%

A Review on Nonlocal Theories in Fatigue Assessment of Solids

2023

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“…64,65 In this case, the use of a uniaxial nonlocal formulation for geometric nonlinearity is recommended. [65][66][67] Finally, for 3D building simulations, a multiaxial finite-strain implementation should be developed. This material model should be more suitable in addressing 3D effects at the cross-sectional level due to interaction of axial load and biaxial bending once local buckling occurs during the column response history.…”

Section: Limitations and Suggestions For Future Workmentioning

confidence: 99%

“…Although a physical length over which plastification occurs is assumed, the proposed model could still suffer from spurious mesh dependency (i.e., assumed number of integration points) due to nonobjectivity if it is utilized within a conventional force‐ or displacement‐based element 64,65 . In this case, the use of a uniaxial nonlocal formulation for geometric nonlinearity is recommended 65–67 . Finally, for 3D building simulations, a multiaxial finite‐strain implementation should be developed.…”

Section: Limitations and Suggestions For Future Workmentioning

confidence: 99%

Fiber‐based hysteretic model for simulating strength and stiffness deterioration of steel hollow structural section columns under cyclic loading

Suzuki

Lignos

2020

Earthq Engng Struct Dyn

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An efficient component model has been developed that captures strength and stiffness deterioration of steel hollow structural section (HSS) columns. The proposed model consists of two fiber-based segments at a member's ends along with an elastic segment in between. The fibers exhibit nonlinear uniaxial stress-strain behavior, which is explicitly defined by uniaxial monotonic tensile and cyclic round coupon tests. The postbuckling behavior of an HSS column is traced through a proposed uniaxial effective stress-strain constitutive formulation, which includes a softening branch in compression and an energy-based deterioration rule to trace the influence of cyclic deterioration in the inelastic cyclic straining. These may be inferred by uniaxial stub-column tests. The component model captures the coupling between the column axial force and flexural demands. Consistent model parameters for a number of steel materials used in the steel construction in North America and Japan are proposed along with the associated model calibration process. The efficiency of

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Hysteretic behavior and modelling of ultra-high-strength steel bar including buckling

Han

2019

Bull Earthquake Eng

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Uniaxial Nonlocal Formulation for Geometric Nonlinearity–Induced Necking and Buckling Localization in a Steel Bar

Cited by 22 publications

References 41 publications

A Review on Nonlocal Theories in Fatigue Assessment of Solids

A Review on Nonlocal Theories in Fatigue Assessment of Solids

Fiber‐based hysteretic model for simulating strength and stiffness deterioration of steel hollow structural section columns under cyclic loading

Hysteretic behavior and modelling of ultra-high-strength steel bar including buckling

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