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Liquid films of nanometric thickness are prone to spinodal dewetting driven by disjoining pressure, meaning that a non-wetting liquid film of homogeneous thickness in the range of tens of nanometers will spontaneously break into droplets.…

Fluid Dynamics · Physics 2025-04-11 Tilman Richter , Paolo Malgaretti , Jens Harting

We have performed quantum molecular dynamic simulations for warm dense polystyrene at high pressures. The principal Hugoniot up to 790 GPa is derived from wide range equation of states, where contributions from atomic ionizations are…

Materials Science · Physics 2015-05-27 Cong Wang , Xian-Tu He , Ping Zhang

We introduce conformal mixed finite element methods for $2$D and $3$D incompressible nonlinear elasticity in terms of displacement, displacement gradient, the first Piola-Kirchhoff stress tensor, and pressure, where finite elements for the…

Numerical Analysis · Mathematics 2019-10-31 Arzhang Angoshtari

In the present work, two machine learning based constitutive models for finite deformations are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic and fulfill the polyconvexity condition, which implies…

Materials Science · Physics 2021-11-29 Dominik K. Klein , Mauricio Fernández , Robert J. Martin , Patrizio Neff , Oliver Weeger

In this paper we study the deformation of a body with a notch subject to an anti-plane state of stress within the context of a new class of elastic models. These models stem as approximations of constitutive response functions for an…

Numerical Analysis · Mathematics 2022-05-04 Vojtěch Kulvait , Josef Málek , K. R. Rajagopal

This paper proposes a physio-chemically-based constitutive framework to simulate and predict the response of semi-crystalline low-density polyethylene (LDPE) to severe photo-oxidation. Photo-oxidation induced by exposure to Ultra-Violet…

Materials Science · Physics 2022-01-28 Aimane Najmeddine , Zhen Xu , Guoliang Liu , Alan R. Esker , Maryam Shakiba

Soft materials exhibit significant nonlinear geometric deformations and stress-strain relationships under external forces. This paper explores weakly nonlinear elasticity theories, including Landau's and Murnaghan's formulations, advancing…

Soft Condensed Matter · Physics 2025-04-29 Yangkun Du , Nicholas A Hill , XIaoyu Luo

The proposed work is a formulation for large-strain non-isochoric plastic deformation, using the GTN yield function as the void growth rule as an example. This formulation is fully hyperelastic and uses the Kroner-Lee multiplicative…

Materials Science · Physics 2024-07-30 Meijuan Zhang , Guadalupe Vadillo , Francisco Javier Montans

Hyperuniform materials, characterized by their suppressed density fluctuations and vanishing structure factors as the wave number approaches zero, represent a unique state of matter that straddles the boundary between order and randomness.…

Disordered Systems and Neural Networks · Physics 2024-08-20 Yiwen Tang , Xinzhi Li , Dapeng Bi

Highly compressible solids, such as foams, exhibit complex responses, including pronounced tension-compression asymmetry. Capturing such behaviors within unified hyperelastic frameworks remains challenging. Invariant-based hyperelastic…

Computational Engineering, Finance, and Science · Computer Science 2026-04-17 Miguel Angel Moreno-Mateos , Simon Wiesheier , Paul Steinmann , Ellen Kuhl

This study investigates the coupled deformation and flow behavior of thin, hyper-elastic, porous membranes subjected to pressure loading. Using bulge test experiments, optical deformation measurements, and flow rate characterization, we…

Fluid Dynamics · Physics 2026-01-19 Alexander Gehrke , Zoe King , Kenneth S. Breuer

We propose a model for rate-independent evolution in elastoplastic materials under external loading, which allows large strains. In the setting of strain-gradient plasticity with multiplicative decomposition of the deformation gradient, we…

Analysis of PDEs · Mathematics 2021-09-01 Martin Kružík , Jiří Zeman

We analyze a system of nonlinear stochastic partial differential equations (SPDEs) of mixed elliptic-parabolic type that models the propagation of electric signals and their effect on the deformation of cardiac tissue. The system governs…

Analysis of PDEs · Mathematics 2024-05-29 Mostafa Bendahmane , Kenneth H. Karlsen , Fatima Mroue

We have combined neutron reflectometry with rheology in order to investigate the solid boundary of liquids and polymers under shear deformation. Our approach allows one to apply a controlled stress to a material while resolving the…

Soft Condensed Matter · Physics 2020-06-09 Max Wolff , Peter Kuhns , Georg Liesche , John F. Ankner , Jim F. Browning , Philipp Gutfreund

Strain engineering is a powerful tool for tuning the electronic, magnetic, and topological properties of two-dimensional (2D) materials and thin films - particularly at high values of strain (>3%) where many electronic, magnetic, and…

Materials Science · Physics 2026-04-30 Yangchen He , Jessica Kienbaum , Wuzhang Fang , Hongrui Ma , Ying Wang , Ping Yuan , Daniel A. Rhodes

Plastic deformation of micron and sub-micron scale specimens is characterized by intermittent sequences of large strain bursts (dislocation avalanches) which are separated by regions of near-elastic loading. In the present investigation we…

Materials Science · Physics 2009-11-13 M. Zaiser , J. Schwerdtfeger , A. S. Schneider , C. P. Frick , B. G. Clark , P. A. Gruber , E. Arzt

This work describes a methodology for producing high quality metallic surfaces from uranium primarily for characterisation and investigations involving electron backscatter diffraction. Electrochemical measurements have been conducted to…

Materials Science · Physics 2018-03-16 JE Sutcliffe , JR Petherbridge , T Cartwright , R Springell , TB Scott , JE Darnbrough

We present an experimental apparatus specifically designed to investigate the precursors of failure in granular materials. A sample of granular material is placed between a latex membrane and a glass plate. A confining effective pressure is…

We study a class of Newtonian models for the deformations of non-magnetized neutron stars during their spin-down. The models have all an analytical solution, and thus allow to understand easily the dependence of the strain on the star's…

High Energy Astrophysical Phenomena · Physics 2020-10-26 Elia Giliberti , Marco Antonelli , Gabriele Cambiotti , Pierre Pizzochero

In this short note we develop a constitutive relation that is linear in both the Cauchy stress and the linearized strain, by linearizing implicit constitutive relations between the stress and the deformation gradient that have been put into…

Classical Physics · Physics 2021-01-06 K. R. Rajagopal
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