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Maxwellian-type rheological models of inelastic effects of creep type at large strains are revisited in relation to inelastic-strain gradient theories. In particular, we observe that a dependence of the stored-energy density on…

Analysis of PDEs · Mathematics 2020-12-17 Elisa Davoli , Tomáš Roubíček , Ulisse Stefanelli

The multiplicative decomposition model is widely employed for predicting residual stresses and morphologies of biological tissues due to growth. However, it relies on the assumption that the tissue is initially in a stress-free state, which…

Soft Condensed Matter · Physics 2020-09-04 Yangkun Du , Chaofeng Lü , Weiqiu Chen , Michel Destrade

A new relaxation approach is proposed which allows for the description of stress- and strain-softening at finite strains. The model is based on the construction of a convex hull replacing the originally non-convex incremental stress…

Computational Engineering, Finance, and Science · Computer Science 2023-02-08 Maximilian Köhler , Daniel Balzani

Mechanical modelling of poroelastic media under finite strain is usually carried out via phenomenological models neglecting complex micro-macro scales interdependency. One reason is that the mathematical two-scale analysis is only…

Computational Engineering, Finance, and Science · Computer Science 2021-05-07 Hamidreza Dehghani , Andreas Zilian

The present contribution focuses on the thermodynamically consistent mechanical modeling of the strain-induced crystallization in unfilled polymers. This phenomenon is of particular importance for the mechanical properties of polymers as…

Soft Condensed Matter · Physics 2020-11-11 Serhat Aygün , Sandra Klinge

Polycrystalline materials have a viscoelastic rheology where the strains produced by stresses depend on the timescale of deformation. Energy can be stored elastically within grain interiors and dissipated by a variety of different…

Materials Science · Physics 2026-01-26 John F. Rudge

An innovative technique, called conversion, is introduced to model circumferential cracks in thin cylindrical shells. The semi-analytical finite element method is applied to investigate the modal deformation of the cylinder. An element…

Numerical Analysis · Mathematics 2021-07-21 Ali Alijani , Olga Barrera , Stephane P. A. Bordas

Residual stress and plastic strain in additive manufactured materials can exhibit significant microscopic variation at the powder scale, profoundly influencing the overall properties of printed components. This variation depends on…

Materials Science · Physics 2024-06-19 Yangyiwei Yang , Somnath Bharech , Nick Finger , Xiandong Zhou , Joerg Schroeder , Bai-Xiang Xu

Simulations are used to examine the microscopic origins of strain hardening in polymer glasses. While stress-strain curves for a wide range of temperature can be fit to the functional form predicted by entropic network models, many other…

Soft Condensed Matter · Physics 2009-11-13 Robert S. Hoy , Mark O. Robbins

Size-dependence of plastic flow is studied by discrete dislocation dynamical simulation of systems with various numbers of interacting linear edge dislocations while the stress is slowly increased. Regions between avalanches in the…

Materials Science · Physics 2015-03-05 Peter Szabo , Peter Dusan Ispanovity , Istvan Groma

The modeling of large deformation fracture mechanics has been a challenging problem regarding the accuracy of numerical methods and their ability to deal with considerable changes in deformations of meshes where having the presence of…

Numerical Analysis · Computer Science 2019-03-21 Hai D. Huynh , Phuong Tran , Xiaoying Zhuang , H. Nguyen-Xuan

This work presents a modeling framework to represent the thermomechanical behavior of complex materials based on micromechanical dynamics. The framework is applied to nuclear fuel rod elements composed of Zircaloy-2 cladding tubes and…

Computational Physics · Physics 2025-10-16 Fabrizio Aguzzi , Martín Armoa , Santiago M. Rabazzi , César Pairetti , Alejandro Albanesi

Creep failure of hierarchical materials is investigated by simulation of beam network models. Such models are idealizations of hierarchical fibrous materials where bundles of load-carrying fibers are held together by multi-level…

Materials Science · Physics 2023-12-20 Mahshid Pournajar , Paolo Moretti , Seyyed Ahmad Hosseini , Michael Zaiser

Crystal-level strain rate sensitivity and temperature sensitivity are investigated in Zircaloy-4 using combined of bending creep test, digital image correlation, electron backscatter detection and thermo-mechanical tensile tests with…

Materials Science · Physics 2021-09-14 Yang Liu , Weifeng Wan , Said El Chamaa , Mark R. Wenman , Catrin M. Davies , Fionn P. E. Dunne

As a confined thin sheet crumples, it spontaneously segments into flat facets delimited by a network of ridges. Despite the apparent disorder of this process, statistical properties of crumpled sheets exhibit striking reproducibility.…

Soft Condensed Matter · Physics 2021-03-08 Jovana Andrejevic , Lisa M. Lee , Shmuel M. Rubinstein , Chris H. Rycroft

This paper presents a new method for modelling the dynamic behaviour of developable ribbons, two dimensional strips with much smaller width than length. Instead of approximating such surface with a general triangle mesh, we characterize it…

Graphics · Computer Science 2016-03-15 Zherong Pan , Jin Huang , Hujun Bao

Although the behavior of entangled polymers in startup shear flows with constant shear rates has been thoroughly investigated, the response under creep has not been frequently considered. In this study, primitive chain network simulations,…

Soft Condensed Matter · Physics 2026-02-03 Yuichi Masubuchi , Giovanni Ianniruberto , Giuseppe Marrucci

The creep behaviour of a creep-resistant AE42 magnesium alloy reinforced with Saffil short fibres and SiC particulates in various combinations has been examined in the longitudinal direction, i.e., the plane containing random fibre…

Applied Physics · Physics 2017-05-02 A. K. Mondal , S. Kumar

We study the creep behavior of a disordered brittle material (concrete) under successive loading steps, using acoustic emission and ultrasonic sensing to track internal damage. The primary creep rate is observed to follow a (Omori-type)…

Statistical Mechanics · Physics 2022-06-23 Tero Mäkinen , Jérôme Weiss , David Amitrano , Philippe Roux

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