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Complex engineering models are typically computationally demanding and defined by a high-dimensional parameter space challenging the comprehensive exploration of parameter effects and design optimization. To overcome this curse of…

Applications · Statistics 2024-03-01 Corey Arndt , Cody Crusenberry , Bozhi Heng , Rochelle Butler , Stephanie TerMaath

Stochastic models for the development of cracks in 1 and 2 dimensional objects are presented. In one dimension, we focus on particular scenarios for interacting and non-interacting fragments during the breakup process. For two dimensional…

Statistical Mechanics · Physics 2009-11-11 F. P. M. dos Santos , R. Donangelo , S. R. Souza

The fracture toughness for a mode I/II crack propagating in a ductile material has been subject to numerous investigations. However, the influence of the material hardening law has received very limited attention, with isotropic hardening…

Materials Science · Physics 2018-12-18 Kristian J. Juul , Emilio Martínez-Pañeda , Kim L. Nielsen , Christian F. Niordson

We study the fatigue fracture of disordered materials by means of computer simulations of a discrete element model. We extend a two-dimensional fracture model to capture the microscopic mechanisms relevant for fatigue, and we simulate the…

Disordered Systems and Neural Networks · Physics 2009-11-11 H. A. Carmona , F. Kun , J. S. Andrade , H. J. Herrmann

In this paper, we extend a micromechanics-based phase-field framework for fatigue fracture to incorporate cyclic plasticity with ratcheting. This mechanism is particularly relevant for low-cycle fatigue, where the accumulation of inelastic…

Applied Physics · Physics 2026-02-05 Mina Sarem , Nuhamin Eshetu Deresse , Els Verstrynge , Stijn François

The fracture resistance of structures is optimised using the level-set method. Fracture resistance is assumed to be related to the elastic energy released by a crack propagating in a normal direction from parts of the boundary which are in…

Materials Science · Physics 2007-05-23 V. J. Challis , A. P. Roberts , A. H. Wilkins

The hardness of materials plays an important role in material design. There are numerous experimental methods to measure the hardness of materials, but theoretical prediction of hardness is challenging. By investigating the correlation…

Materials Science · Physics 2024-12-24 Faridun N. Jalolov , Alexander G. Kvashnin

Implicit rate-type constitutive relations utilizing discontinuous functions provide a novel approach to the purely phenomenological description of the inelastic response of solids undergoing finite deformation. However, this type of…

Soft Condensed Matter · Physics 2020-07-02 David Cichra , Vít Průša

In the context of the Damage Mechanics Challenge, we adopt a phase-field model of brittle fracture to blindly predict the behavior up to failure of a notched three-point-bending specimen loaded under mixed-mode conditions. The beam is…

Computational Engineering, Finance, and Science · Computer Science 2024-12-17 Jonas Heinzmann , Pietro Carrara , Chenyi Luo , Manav Manav , Akanksha Mishra , Sindhu Nagaraja , Hamza Oudich , Francesco Vicentini , Laura De Lorenzis

We present a visco-elastic coupling model between caked spheres, suitable for DEM simulations, which incorporates the different loading mechanisms (tension, shear, bending, torsion) in a combined manner and allows for a derivation of…

Statistical Mechanics · Physics 2015-03-18 L. Brendel , J. Török , R. Kirsch , U. Bröckel

In the dynamic analysis of structural engineering systems, it is common practice to introduce damping models to reproduce experimentally observed features. These models, for instance Rayleigh damping, account for the damping sources in the…

Computational Engineering, Finance, and Science · Computer Science 2015-03-25 Pierre Jehel , Régis Cottereau

It is stated in the main in essence new approach to mechanics of the stressed state of the solid body from statistically isotropic material and the homogeneous liquid dynamics. The approach essence is in the detected property of the…

Fluid Dynamics · Physics 2008-09-25 S. L. Arsenjev

Stochastic models for pore collapse in granular materials are developed. First, a general fluctuating stress-strain relation for a plastic flow rule is derived. The fluctuations account for non-associativity in plastic deformations…

Soft Condensed Matter · Physics 2020-03-02 Joseph Bakarji , Daniel M. Tartakovsky

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the…

Numerical Analysis · Mathematics 2022-01-12 Thaís C. da Costa Haveroth , Geovane A. Haveroth , Marco L. Bittencourt , José L. Boldrini

In this paper we prove the existence of solutions for a class of viscoelastic dynamic systems on time--dependent cracked domains, with possibly degenerate viscosity coefficients. Under stronger regularity assumptions we also show a…

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

The study is devoted to geometrically non-linear modelling of viscoplastic structures with residual stresses. We advocate and develop a special approach to residual stresses based on the transition between reference configurations. The…

Materials Science · Physics 2021-04-06 I. I. Tagiltsev , A. V. Shutov

Machine learning approaches informed by physics have offered new insights into the discovery of constitutive models from data, helping overcome some limitations of traditional constitutive modelling while reducing the cost of otherwise…

Materials Science · Physics 2026-05-19 Filippo Masi

The mechanics of single-chain stretching and rupture are central to understanding the resilience of biological polymers and designing strong and tough soft materials such as double-network gels and multi-network elastomers. In this work, we…

Soft Condensed Matter · Physics 2026-05-19 Noy Cohen , Nikolaos Bouklas , Chung-Yuen Hui

The research reveals the existence of a constant characteristic time of preparatory micro-structural processes before the onset of macro-failure at various high loading rates of brittle and quasi-brittle materials. The presence of this…

Materials Science · Physics 2023-01-23 Ivan Smirnov

The endochronic theory, developed in the early 70s, allows the plastic behavior of materials to be represented by introducing the notion of intrinsic time. With different viewpoints, several authors discussed the relationship between this…

Classical Physics · Physics 2009-01-13 Silvano Erlicher , Nelly Point