Oct 2026· Proceedings in Applied Mathematics and Mechanics· Vol 26· 0 citations· 17 references
Abstract
A rotation‐free finite‐strain phase‐field‐regularized elastoplastic damage formulation is presented for the tensile failure simulation of polypropylene (PP). The bulk response is represented by a hyperelastic–isotropic–plastic material branch formulated in a corotated intermediate configuration. Damage evolution is regularized by a cohesive‐like phase‐field formulation. The fracture‐active driving energy consists of the recoverable tensile hyperelastic energy and the stored isotropic hardening energy. A critical energy density enters the degradation calibration and controls the energetic scale for damage initiation. Irreversibility of the phase field is imposed by a variational inequality, which avoids the introduction of a history maximum field. A dog‐bone tensile specimen is used for calibration. The simulated global tensile response is compared with an experimental tensile curve, and the corresponding deformed damage state shows the abrupt localization‐induced loss of load‐carrying capacity.
Cyclic deformation with large elastoplastic strain appears in the ultimate behavior of steel structures during earthquakes. Accurate fracture simulation of structural steel components under large deformation is therefore critical for ensuring structural reliability and safety. An experimental method with a novel specim...
This study develops a cyclic thermo‐elasto‐plastic creep constitutive model within a finite‐deformation framework for structures under cyclic thermo‐mechanical loading. The A‐K‐O kinematic hardening model is combined with a Norton‐Bailey creep law, and the governing equations are discretized using a backward‐Euler re...
Yan Li, Shun-Shun Zhang, Chun-Fa Wang et al.· Fatigue & Fracture of En...· 0 citations
The bond‐associated quadrature point formulation is a very accurate peridynamic formulation for elasticity, but modeling fracture by the traditional deletion of bonds can trigger severe numerical instabilities. These instabilities are most pronounced for wave‐induced fracture, where stress waves continue to propagate...
Kai Partmann, Manuel Dienst, Christian Wieners et al.· Proceedings in Applied Mathe...· 0 citations
Open‐cell nickel‐polyurethane hybrid foams are lightweight energy absorbers, but their porous architecture complicates reliable joining. This study investigates the micromechanical deformation and failure mechanisms of a process‐integrated threaded insert under pull‐out loading using finite element simulations based on...
Y. Bautz, J. Fell, Hendrik Jost et al.· Advanced Engineering Materia...· 0 citations
In the structural analysis of tensile membrane structures, the linear elastic material model is a widely used tool in engineering practice, owing to its simplicity and low computational cost. However, its inability to accurately represent the strongly nonlinear and anisotropic response of technical fabrics often result...
M. Motevalli, J. Uhlemann, N. Stranghöner et al.· ce/papers· 0 citations
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