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This paper is concerned with the diffusion of a fluid through a viscoelastic solid undergoing large deformations. Using ideas from the classical theory of mixtures and a thermodynamic framework based on the notion of maximization of the…

Computational Engineering, Finance, and Science · Computer Science 2015-03-17 Satish Karra

Liquid migration in active soft solids is a very common phenomenon in Nature at different scales: from cells to leaves. It can be caused by mechanical as well as chemical actions. The work focuses on the migration of liquid provoked by…

Soft Condensed Matter · Physics 2020-06-29 Michele Curatolo , Paola Nardinocchi , Luciano Teresi

Exterior calculus and moving frames are used to describe curved elastic shells. The kinematics follow from the Lie-derivative on forms whereas the dynamics via stress-forms.

Mathematical Physics · Physics 2015-06-26 Niels Sondergaard

Deformational structures, in many aspects generalizing standard elasticity theory, are investigated in abstract form. Within free deformational structures we define algebra of deformations, classify them by its special properties, define…

Mathematical Physics · Physics 2008-10-30 Sergey S. Kokarev

The future behavior of the West Antarctic Ice Sheet (WAIS) may have a major impact on future climate. For instance, ice sheet melt may contribute significantly to global sea level rise. Understanding the current state of WAIS is therefore…

Applications · Statistics 2017-07-04 Yawen Guan , Murali Haran , David Pollard

The mechanical response, serviceability, and load bearing capacity of materials and structural components can be adversely affected due to external stimuli, which include exposure to a corrosive chemical species, high temperatures,…

Materials Science · Physics 2016-07-20 C. Xu , M. K. Mudunuru , K. B. Nakshatrala

Arctic sea ice plays an important role in the global climate. Sea ice models governed by physical equations have been used to simulate the state of the ice including characteristics such as ice thickness, concentration, and motion. More…

This work presents a comparative review and classification between some well-known thermodynamically consistent models of hydrogel behavior in a large deformation setting, specifically focusing on solvent absorption/desorption and its…

Computational Engineering, Finance, and Science · Computer Science 2024-04-05 Jorge-Humberto Urrea-Quintero , Michele Marino , Thomas Wick , Udo Nackenhorst

Ice sheet models are used to study the deglaciation of North America at the end of the last ice age (past 21,000 years), so that we might understand whether and how existing ice sheets may reduce or disappear under climate change. Though…

Applications · Statistics 2022-10-03 James M. Salter , Daniel B. Williamson , Lauren J. Gregoire , Tamsin L. Edwards

Flexure of Antarctic ice shelves under excitation from long ocean waves induces mechanical ice shelf stresses that amplify fractures and, hence, contribute to calving events. Here, a solution method is developed for a hydroelastic…

Fluid Dynamics · Physics 2026-05-22 T. K. Papathanasiou , L. G. Bennetts , M. H. Meylan

Elastic deformation of rigid materials with soft coatings (stratified materials) due to lubrication forces can also alter the interpretation of dynamic surface forces measurements and prevent contact formation between approaching surfaces.…

Soft Condensed Matter · Physics 2017-08-18 Yumo Wang , Matthew R. Tan , Joelle Frechette

A periodic assembly of acoustically-rigid blocks (termed 'grating'), situated between two half spaces occupied by fluid-like media, lends itself to a rigorous theoretical analysis of its response to an acoustic homogeneous plane wave. This…

Applied Physics · Physics 2018-04-04 Armand Wirgin

Sea ice profoundly influences the polar environment and the global climate. Traditionally, Sea ice has been modeled as a continuum under Eulerian coordinates to describe its large-scale features, using, for instance, viscous-plastic…

Numerical Analysis · Mathematics 2023-08-16 Quanling Deng , Samuel N. Stechmann , Nan Chen

Melting is omnipresent in nature and technology, with applications ranging from metallurgy, biology, food science, and latent thermal energy storage to oceanography, geophysics, and climate science, and occurring on all scales from…

We provide a theoretical perspective on the glass transition in molecular liquids at thermal equilibrium, on the spatially heterogeneous and aging dynamics of disordered materials, and on the rheology of soft glassy materials. We start with…

Statistical Mechanics · Physics 2011-06-22 Ludovic Berthier , Giulio Biroli

The behavior of a magnetic fluid drop lying on a solid horizontal surface and surrounded by a nonmagnetic liquid under the action of a uniform magnetic field which is rotating in a vertical plane with low frequency (of the order of 1 Hz)…

Soft Condensed Matter · Physics 2015-03-13 Arthur Zakinyan , Oksana Nechaeva , Yury Dikansky

Understanding the microscopic origin of the rheological behavior of soft matter is a long-lasting endeavour. While early efforts concentrated mainly on the relationship between rheology and structure, current research focuses on the role of…

Soft Condensed Matter · Physics 2018-02-13 Stefano Aime , Luca Cipelletti

A fluid droplet in general deforms, if subject to active driving, such as a finite slip velocity or active tractions on its interface. We show that these deformations and their dynamics can be computed analytically in a perturbation theory…

Soft Condensed Matter · Physics 2023-04-19 Reiner Kree , Annette Zippelius

This paper develops and evaluates a novel 3D fully-Lagrangian (particle-based) numerical model, based on the hybrid discrete element method (DEM) and moving particle semi-implicit (MPS) mesh-free techniques, for modeling the highly-dynamic…

We study the shear induced fluidization of amorphous solids subjected to external loading by investigating the relaxation dynamics of the deformed states using computer simulation. A simple shear deformation is employed at constant rate to…

Soft Condensed Matter · Physics 2021-12-07 Santhosh Kumar R , Bhaskar Sen Gupta