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A thermodynamic framework has been developed for a class of amorphous polymers used in fused deposition modeling (FDM), in order to predict the residual stresses and the accompanying distortion of the geometry of the printed part (warping).…

Classical Physics · Physics 2021-02-09 P. Sreejith , K. Kannan , K. R. Rajagopal

This paper describes a novel homogenization methodology for analyzing the failure of elastoplastic composite materials based on elastic and eigen influence tensors-driven transformation field analysis ($\mathtt{E}^2$-TFA). The proposed…

Computational Engineering, Finance, and Science · Computer Science 2025-09-26 Harpreet Singh

The calibration of solid constitutive models with full-field experimental data is a long-standing challenge, especially in materials which undergo large deformation. In this paper, we propose a physics-informed deep-learning framework for…

Machine Learning · Computer Science 2022-04-01 Craig M. Hamel , Kevin N. Long , Sharlotte L. B. Kramer

The mechanical response of amorphous silica (or silica glass) under hydrostatic compression for very high pressures up to 25 GPa is modelled via an elastic-plastic constitutive equation (continuum mechanics framework).The material…

Hyperelastic material characterization is crucial for understanding the behavior of soft materials -- such as tissues, rubbers, hydrogels, and polymers -- under quasi-static loading before failure. Traditional methods typically rely on…

Soft Condensed Matter · Physics 2025-07-10 Mohammad Shojaeifard , Mattia Bacca

Amorphous materials exhibit complex material proprteties with strongly nonlinear behaviors. Below a yield stress they behave as plastic solids, while they start to yield above a critical stress $\Sigma_c$. A key quantity controlling…

Biological Physics · Physics 2020-05-06 Marko Popović , Valentin Druelle , Natalie A. Dye , Frank Jülicher , Matthieu Wyart

Deformations of conventional solids are described via elasticity, a classical field theory whose form is constrained by translational and rotational symmetries. However, flexible metamaterials often contain an additional approximate…

Soft Condensed Matter · Physics 2022-02-02 Michael Czajkowski , Corentin Coulais , Martin van Hecke , D. Zeb Rocklin

We present a compelling finite element framework to model hydrogen assisted fatigue by means of a hydrogen- and cycle-dependent cohesive zone formulation. The model builds upon: (i) appropriate environmental boundary conditions, (ii) a…

Materials Science · Physics 2017-11-29 Susana del Busto , Covadonga Betegón , Emilio Martínez-Pañeda

We introduce an interpretable deep learning framework that predicts the cohesive energy of transition-metal alloys (TMAs) by embedding cohesion theory within graph neural networks (GNNs). Beyond accurate prediction of cohesive energy, a key…

Materials Science · Physics 2025-09-11 Yang Huang , Shih-Han Wang , Shuyi Cao , Luke E. K. Achenie , Hongliang Xin

In this paper we study deformation, failure and breakage of visco-elastic thin films of aging laponite suspension under tensile deformation field. Aqueous suspension of laponite is known to undergo waiting time dependent evolution of its…

Soft Condensed Matter · Physics 2009-05-07 Asima Shaukat , Yogesh M. Joshi , Ashutosh Sharma

We present results of a simulation study of inelastic hard-disks vibrated in a vertical container. An Event-Driven Molecular Dynamics method is developed for studying the onset of convection. Varying the relevant parameters (inelasticity,…

Statistical Mechanics · Physics 2016-08-31 Daniela Paolotti , Alain Barrat , Umberto Marini Bettolo Marconi , Andrea Puglisi

A recent paper [J. A. Evans, D. Kamensky, Y. Bazilevs, "Variational multiscale modeling with discretely divergence-free subscales", Computers & Mathematics with Applications, 80 (2020) 2517-2537] introduced a novel stabilized finite element…

Numerical Analysis · Mathematics 2021-12-21 Sajje Lee Calfy , John A. Evans , David Kamensky

In layered materials, a common mode of deformation involves buckling of the layers under tensile deformation in the direction perpendicular to the layers. The instability mechanism, which operates in elastic materials from geological to…

Materials Science · Physics 2012-01-13 Ali Makke , Michel Perez , Olivier Lame , Jean-Louis Barrat

A geometrically nonlinear continuum mechanical theory is formulated for deformation and failure behaviors of amorphous polymers. The model seeks to capture material response over a range of loading rates, temperatures, and stress states…

Materials Science · Physics 2026-02-10 John D. Clayton

The mechanics of cohesive or cemented granular materials is complex, combining the heterogeneous responses of granular media, like force chains, with clearly defined material properties. Here, we use a discrete element model (DEM)…

Soft Condensed Matter · Physics 2020-11-17 Yuta Yamaguchi , Soumyajyoti Biswas , Takahiro Hatano , Lucas Goehring

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

Yield-stress fluids are ubiquitous and encountered in diverse fields ranging from natural muddy flows to industrial applications such as secondary battery electrode slurries and direct ink writing. Despite the proposal of various…

Fluid Dynamics · Physics 2026-05-20 Jehyeok Choi , Ju Min Kim , Kwang Soo Cho

In this paper, the analysis and homogenization of a poroelastic model for the hydro-mechanical response of fibre-reinforced hydrogels is considered. Here, the medium in question is considered to be a highly heterogeneous two-component media…

Analysis of PDEs · Mathematics 2023-11-27 Michael Eden , Hari Shankar Mahato

In this work, we extend the analyses devoted to Newtonian viscous fluids previously reported by Ribe [Physical Review E 68, 036305 (2003)], by investigating shear thickening (dilatant) and shear thinning (pseudoplastic) effects on the…

Fluid Dynamics · Physics 2021-02-16 Anselmo Pereira , Nicolas Valade , Elie Hachem , Rudy Valette

In traditional phase-field modeling of multiphase materials, a significant challenge arises from the non-local nature of fracture energy regularization, where interfacial toughness is inherently coupled with the properties of the…

Computational Physics · Physics 2026-04-14 Ye-Hang Qin , Ye Feng