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Gradient structured (GS) metals processed by severe plastic deformation techniques can be designed to achieve simultaneously high strength and high ductility. Significant kinematic hardening is key to their excellent strain hardening…

Materials Science · Physics 2020-02-11 Jianfeng Zhao , Xiaochong Lu , Jinling Liu , Chen Bao , Guozheng Kang , Michael Zaiser , Xu Zhang

We develop a general incremental framework for hyperelastic solids whose surfaces exhibit both stretch-dependent and curvature-dependent elastic behavior. Building upon a variational formulation of curvature-dependent surface elasticity, we…

Mathematical Physics · Physics 2026-01-08 Xiang Yu , Michal Šmejkal , Martin Horák

We study the lubrication of fluid-immersed soft interfaces and show that elastic deformation couples tangential and normal forces and thus generates lift. We consider materials that deform easily, due to either geometry (e.g. a shell) or…

Soft Condensed Matter · Physics 2009-11-10 J. M. Skotheim , L. Mahadevan

Solids deform and fluids flow, but soft glassy materials, such as emulsions, foams, suspensions, and pastes, exhibit an intricate mix of solid and liquid-like behavior. While much progress has been made to understand their elastic (small…

Soft Condensed Matter · Physics 2018-04-20 Simon Dagois-Bohy , Ellák Somfai , Brian P. Tighe , Martin van Hecke

A polycrystalline solid is modelled as an ensemble of random irregular polyhedra filling the entire space occupied by the solid body, leaving no voids or flaws between them. Adjacent grains can slide with a relative velocity proportional to…

Materials Science · Physics 2025-11-03 Miguel Lagos

The interaction between visco-elasto-plastic and adhesive particles is the subject of this study, where "meso-particles" are introduced, i.e., simplified particles, whose contact mechanics is not taken into account in all details. A few…

Soft Condensed Matter · Physics 2015-12-02 Abhinendra Singh , Vanessa Magnanimo , Stefan Luding

The development of a subduction zone, whether spontaneous or induced, encompasses a stage of strain localization and is epitomized by the growth of lithospheric-scale shear bands. Our aim in this paper, using a solid-mechanical constitutive…

Geophysics · Physics 2022-12-27 Ekeabino Momoh , Harsha S. Bhat , Steve Tait

A nonlinear dynamical system model that approximates a microscopic Gibbs field model for the yielding of a viscoplastic material subjected to varying external stress recently reported in [1] is presented. The predictions of the model are in…

Soft Condensed Matter · Physics 2016-10-04 Sainudiin Raazesh , Moyers-Gonzalez Miguel , Burghelea Teodor

The poromechanical behaviour of hardened cement paste under isotropic loading is studied on the basis of an experimental testing program of drained, undrained and unjacketed compression tests. The macroscopic behaviour of the material is…

In particular types of layer- or lamellar-like microstructures such as pearlite and lath martensite, plastic slip occurs favorably in directions parallel to inter-lamellar boundaries. This may be due to the interplay between morphology and…

Materials Science · Physics 2022-11-18 V. Rezazadeh , R. H. J. Peerlings , F. Maresca , J. P. M. Hoefnagels , M. G. D. Geers

The major challenge in determining a hyperelastic model for a given material is the choice of invariants and the selection how the strain energy function depends functionally on these invariants. Here we introduce a new data-driven…

Soft Condensed Matter · Physics 2025-09-19 Denisa Martonová , Alain Goriely , Ellen Kuhl

We compare the macroscopic and the local plastic behavior of a model amorphous solid based on two radically different numerical descriptions. On the one hand, we simulate glass samples by atomistic simulations. On the other, we implement a…

Materials Science · Physics 2021-05-05 David Fernández Castellanos , Stéphane Roux , Sylvain Patinet

The formulation of a new prism finite element is presented for the nonlinear analysis of solid shells subject to large strains and large displacements. The element is based on hierarchical, heterogeneous, and anisotropic shape functions. As…

Numerical Analysis · Mathematics 2020-10-20 Lukasz Kaczmarczyk , Hoang Nguyen , Zahur Ullah , Mebratu Wakeni , Chris Pearce

The transformation method is a powerful tool for providing the constitutive parameters of the transformed material in the new coordinates. In transformation elasticity, a general curvilinear change of coordinates transforms conventional…

Applied Physics · Physics 2021-04-30 Yangyang Chen , Hussein Nassar , Guoliang Huang

Plasticity with softening and fracture mechanics lead to ill-posed mathematical problems due to the loss of monotonicity. Multiple co-existing solutions are possible when softening elements are coupled together, and solutions cannot be…

Optimization and Control · Mathematics 2025-09-08 Ivan Gudoshnikov

We consider a fractional plasticity model based on linear isotropic and kinematic hardening as well as a standard von-Mises yield function, where the flow rule is replaced by a Riesz--Caputo fractional derivative. The resulting mathematical…

Numerical Analysis · Mathematics 2025-04-14 Michael Feischl , David Niederkofler , Barbara Wohlmuth

In the present work, a hyperelastic constitutive model based on neural networks is proposed which fulfills all common constitutive conditions by construction, and in particular, is applicable to compressible material behavior. Using…

Computational Engineering, Finance, and Science · Computer Science 2023-07-07 Lennart Linden , Dominik K. Klein , Karl A. Kalina , Jörg Brummund , Oliver Weeger , Markus Kästner

The response of amorphous materials to an applied strain can be continuous, or instead display a macroscopic stress drop when a shear band nucleates. Such discontinuous response can be observed if the initial configuration is very stable.…

Soft Condensed Matter · Physics 2018-10-17 Marko Popović , Tom W. J. de Geus , Matthieu Wyart

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes,…

Disordered Systems and Neural Networks · Physics 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

In order to develop predictive wear laws, relevant material parameters and their influence on the wear rate need to be identified. Despite decades of research, there is no agreement on the mathematical form of wear equations and even the…

Applied Physics · Physics 2021-01-20 Tobias Brink , Lucas Frérot , Jean-François Molinari