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Related papers: Fracture in distortion gradient plasticity

200 papers

Fracture of materials with rate-dependent mechanical behaviour, e.g. polymers, is a highly complex process. For an adequate modelling, the coupling between rate-dependent stiffness, dissipative mechanisms present in the bulk material and…

Materials Science · Physics 2023-11-27 Franz Dammaß , Karl A. Kalina , Marreddy Ambati , Markus Kästner

Fatigue fracture is one of the main causes of failure in structures. However, the simulation of fatigue crack growth is computationally demanding due to the large number of load cycles involved. Metals in the low cycle fatigue range often…

Computational Physics · Physics 2024-11-11 Martha Kalina , Tom Schneider , Haim Waisman , Markus Kästner

During brittle crack propagation, a smooth crack front curve frequently becomes disjoint, generating a stepped crack and a material ligament that unites the newly formed crack fronts. These universal features fundamentally alter the…

Computational Engineering, Finance, and Science · Computer Science 2025-07-30 Xinyue Wei , John M. Kolinski

We develop a theory for drying-induced stresses in sessile, poroelastic drops undergoing evaporation on rigid surfaces. Using a lubrication-like approximation, the governing equations of three-dimensional nonlinear poroelasticity are…

Soft Condensed Matter · Physics 2022-05-18 Matthew G. Hennessy , Richard V. Craster , Omar K. Matar

In this paper, we deduce a macroscopic strain gradient theory for plasticity from a model of discrete dislocations. We restrict our analysis to the case of a cylindrical symmetry for the crystal in exam, so that the mathematical formulation…

Mathematical Physics · Physics 2008-08-19 Adriana Garroni , Giovanni Leoni , Marcello Ponsiglione

The transition from stick to slip at a dry frictional interface occurs through the breaking of the junctions between the two contacting surfaces. Typically, interactions between the junctions through the bulk lead to rupture fronts…

Digital image correlation is a widely used technique in the field of experimental mechanics. In fracture mechanics, determining the precise location of the crack tip is crucial. In this paper, we introduce a universal crack tip detection…

Materials Science · Physics 2024-03-18 David Melching , Florian Paysan , Tobias Strohmann , Eric Breitbarth

The pattern development of multiple cracks in extremely anisotropic solids such as bilayer or multilayer two-dimensional (2D) crystals contains rich physics, which, however, remains largely unexplored. We studied crack interaction across…

Materials Science · Physics 2024-02-13 Shizhe Feng , Xiaodong Zheng , Pengjie Shi , Thuc Hue Ly , Jiong Zhao , Zhiping Xu

When a material is subjected to an applied stress, the material will experience recoverable elastic deformation followed by permanent plastic deformation at the point when the applied stress exceeds the yield stress of the material.…

Localization of plastic strain induced by softening can be objectively described by a regularized plasticity model that postulates a dependence of the current yield stress on a nonlocal softening variable defined by a differential…

Materials Science · Physics 2012-02-02 Milan Jirasek , Jan Zeman , Jaroslav Vondrejc

Impacted with sufficiently large stress, a dense, initially liquid-like suspension can be forced into a solid-like state through the process of shear jamming. While the onset of shear jamming has been investigated extensively, less is known…

Soft Condensed Matter · Physics 2025-11-25 Malcolm Slutzky , Alice Pelosse , Michael van der Naald , Heinrich M. Jaeger

While crack nucleation and propagation in the brittle or quasi-brittle regime can be predicted via variational or material-force-based phase field fracture models, these models often assume that the underlying elastic response of the…

Computational Engineering, Finance, and Science · Computer Science 2020-08-13 Hyoung Suk Suh , WaiChing Sun , Devin O'Connor

The accurate measurement of fracture resistance in elastomers is essential for predicting the mechanical limits of soft devices. Usually, this is achieved by performing tearing or peeling experiments on thin-sheet samples. Here, we show…

Soft Condensed Matter · Physics 2023-06-12 Nan Xue , Rong Long , Eric R. Dufresne , Robert W. Style

Over the past seven years, full-field analyses of a wide range of classical as well as modern quasi-static fracture experiments on nominally elastic brittle materials -- ranging from hard ceramics to soft elastomers -- have repeatedly…

Materials Science · Physics 2024-11-26 Yangyuanchen Liu , Oscar Lopez-Pamies , John E. Dolbow

Fatigue crack growth in ductile materials is primarily driven by the interaction between damaging and shielding mechanisms. In the Paris regime, the predominant mechanism for retardation is plasticity-induced crack closure (PICC). However,…

Applied Physics · Physics 2024-09-05 Florian Paysan , David Melching , Eric Breibarth

The brittle fragmentation of spheres is studied numerically by a 3D Discrete Element Model. Large scale computer simulations are performed with models that consist of agglomerates of many spherical particles, interconnected by beam-truss…

Materials Science · Physics 2015-09-04 Falk K. Wittel , Humberto A. Carmona , Ferenc Kun , Hans J. Herrmann

Materials typically fail under complex stress states, essentially involving dilatational (volumetric) components that eventually lead to material decohesion/separation. It is therefore important to understand dilatational irreversible…

Soft Condensed Matter · Physics 2024-05-16 Avraham Moriel , David Richard , Edan Lerner , Eran Bouchbinder

In this paper we consider a dynamic model of fracture for viscoelastic materials, in which the constitutive relation, involving the Cauchy stress and the strain tensors, is given in an implicit nonlinear form. We prove the existence of a…

Analysis of PDEs · Mathematics 2025-10-06 Maicol Caponi , Alessandro Carbotti , Francesco Sapio

We argue that nucleation of brittle cracks in initially flawless soft elastic solids is preceded by a nonlinear elastic instability, which cannot be captured without accounting for geometrical precise description of finite elastic…

Soft Condensed Matter · Physics 2024-06-17 D. Riccobelli , P. Ciarletta , G. Vitale , C. Maurini , L. Truskinovsky

We present a continuum phase-field model of crack propagation. It includes a phase-field that is proportional to the mass density and a displacement field that is governed by linear elastic theory. Generic macroscopic crack growth laws…

Materials Science · Physics 2009-11-07 L. O. Eastgate , J. P. Sethna , M. Rauscher , T. Cretegny , C. -S. Chen , C. R. Myers