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Related papers: Cohesive phase-field fracture with an explicit str…

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We study the relation between a threshold-force based model at the microscopic scale and mode I fracture at the macroscopic scale in a system of discrete interacting springs. Specifically, we idealize the contact between two surfaces as…

Soft Condensed Matter · Physics 2016-06-13 Srivatsan Hulikal , Kaushik Bhattacharya , Nadia Lapusta

We present a new data-driven paradigm for variational brittle fracture mechanics. The fracture-related material modeling assumptions are removed and the governing equations stemming from variational principles are combined with a set of…

Computational Engineering, Finance, and Science · Computer Science 2020-09-11 Pietro Carrara , Laura De Lorenzis , Laurent Stainier , Michael Ortiz

Geothermal energy, a promising renewable source, relies on efficiently utilizing geothermal reservoirs, especially in Enhanced Geothermal Systems (EGS), where fractures in hot rock formations enhance permeability. Understanding fracture…

Numerical Analysis · Mathematics 2025-01-13 Sanghyun Lee , Henry von Wahl , Thomas Wick

We present a generalised phase field-based formulation for predicting fatigue crack growth in metals. The theoretical framework aims at covering a wide range of material behaviour. Different fatigue degradation functions are considered and…

Computational Engineering, Finance, and Science · Computer Science 2021-11-24 Z. Khalil , A. Y. Elghazouli , E. Martínez-Pañeda

The phase field fracture method is attracting significant interest. Phase field approaches have enabled predicting - on arbitrary geometries and dimensions - complex fracture phenomena such as crack branching, coalescence, deflection and…

Computational Engineering, Finance, and Science · Computer Science 2021-04-19 Yousef Navidtehrani , Covadonga Betegón , Emilio Martínez-Pañeda

A finite element framework is presented for analyzing crack-tip phenomena in transversely isotropic, strain-limiting elastic materials. Mechanical response is characterized by an algebraically nonlinear constitutive model, relating stress…

Numerical Analysis · Mathematics 2025-07-03 Saugata Ghosh , Dambaru Bhatta , S. M. Mallikarjunaiah

Though a number of formulations have been proposed for phase--field models for hydraulic fracture, the definition of the degraded poroelastic strain energy varies from one model to another. This study explores previously proposed forms of…

Numerical Analysis · Mathematics 2023-10-17 Tao You , Keita Yoshioka

Frictional sliding contact in hydrodynamic environments can be found in a range of engineering applications. Accurate modeling requires an integrated numerical framework capable of resolving large relative motions, multiphase interactions,…

Computational Physics · Physics 2025-10-01 Biswajeet Rath , Rajeev K. Jaiman

We present a new theoretical and numerical framework for modelling mechanically-assisted corrosion in elastic-plastic solids. Both pitting and stress corrosion cracking (SCC) can be captured, as well as the pit-to-crack transition.…

Applied Physics · Physics 2020-12-30 Chuanjie Cui , Rujin Ma , Emilio Martínez-Pañeda

We explore the potential of the deep Ritz method to learn complex fracture processes such as quasistatic crack nucleation, propagation, kinking, branching, and coalescence within the unified variational framework of phase-field modeling of…

Applied Physics · Physics 2024-04-23 M. Manav , R. Molinaro , S. Mishra , L. De Lorenzis

We present a continuum theory to describe elastically induced phase transitions between coherent solid phases. In the limit of vanishing elastic constants in one of the phases, the model can be used to describe fracture on the basis of the…

Materials Science · Physics 2009-11-13 R. Spatschek , C. Mueller-Gugenberger , E. Brener , B. Nestler

A finite-strain formulation is developed, implemented and tested for a constitutive model capable of describing the transition from granular to fully dense state during cold forming of ceramic powder. This constitutive model (as well as…

Materials Science · Physics 2015-06-19 S. Stupkiewicz , A. Piccolroaz , D. Bigoni

We present a computational framework to explore the effect of microstructure and constituent properties upon the fracture toughness of fibre-reinforced polymer composites. To capture microscopic matrix cracking and fibre-matrix debonding,…

Applied Physics · Physics 2020-11-03 Wei Tan , Emilio Martínez-Pañeda

In this work, we bridge standard adaptive mesh refinement and coarsening on scalable octree background meshes and robust unfitted finite element formulations for the automatic and efficient solution of large-scale nonlinear solid mechanics…

Numerical Analysis · Mathematics 2021-09-01 Santiago Badia , Manuel Caicedo , Alberto F. Martín , Javier Principe

We present a fully coupled boundary integral formulation for modeling steadily propagating semi-infinite plane strain fractures in poroelastic media. By combining fundamental solutions of plain strain poroelasticity for instantaneous fluid…

Geophysics · Physics 2026-04-21 Evgenii Kanin , Andreas Möri , Dmitry Garagash , Brice Lecampion

In variational phase-field modeling of brittle fracture, the functional to be minimized is not convex, so that the necessary stationarity conditions of the functional may admit multiple solutions. The solution obtained in an actual…

Computational Engineering, Finance, and Science · Computer Science 2023-07-19 Tymofiy Gerasimov , Ulrich Römer , Jaroslav Vondřejc , Hermann G. Matthies , Laura De Lorenzis

In this work, a recently proposed high-cycle fatigue cohesive zone model, which covers crack initiation and propagation with limited input parameters, is embedded in a robust and efficient numerical framework for simulating progressive…

Computational Engineering, Finance, and Science · Computer Science 2023-12-14 Pieter Hofman , Frans Paul van der Meer , Lambertus Johannes Sluys

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

Slender beams are often employed as constituents in engineering materials and structures. Prior experiments on lattices of slender beams have highlighted their complex failure response, where the interplay between buckling and fracture…

Computational Engineering, Finance, and Science · Computer Science 2024-08-13 Sai Kubair Kota , Siddhant Kumar , Bianca Giovanardi

The paper presents an assumed strain formulation over polygonal meshes to accurately evaluate the strain fields in nonlocal damage models. An assume strained technique based on the Hu-Washizu variational principle is employed to generate a…

Computational Engineering, Finance, and Science · Computer Science 2023-09-18 Hai D. Huynh , S. Natarajan , H. Nguyen-Xuan , Xiaoying Zhuang
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