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We introduce a contact law for the normal force generated between two contacting, elastically anisotropic bodies of arbitrary geometry. The only requirement is that their surfaces be smooth and frictionless. This anisotropic contact law is…

Soft Condensed Matter · Physics 2021-04-23 Saviz Mowlavi , Ken Kamrin

We study deformations of complex hyperbolic surfaces which furnish the simplest examples of: (i) negatively curved K\"ahler manifolds and (ii) negatively curved Riemannian manifolds not having {\it constant} curvature. Although such complex…

Differential Geometry · Mathematics 2016-09-06 Boris Apanasov

Hard-magnetic soft materials (HMSMs) are particulate composites that consist of a soft matrix embedded with particles of high remnant magnetic induction. Since the application of an external magnetic flux induces a body couple in HMSMs, the…

Numerical Analysis · Mathematics 2023-01-05 Farzam Dadgar-Rad , Mokarram Hossain

We investigate the stability and geometrically non-linear dynamics of slender rods made of a linear isotropic poroelastic material. Dimensional reduction leads to the evolution equation for the shape of the poroelastica where, in addition…

Soft Condensed Matter · Physics 2016-08-31 J. M. Skotheim , L. Mahadevan

In this paper we derive a new finite element method for nonlinear shells. The Hellan-Herrmann-Johnson (HHJ) method is a mixed finite element method for fourth order Kirchhoff plates. It uses convenient Lagrangian finite elements for the…

Numerical Analysis · Mathematics 2020-07-31 Michael Neunteufel , Joachim Schöberl

This paper proposes a low order geometrically exact flexible beam formulation based on the utilisation of generic beam shape functions to approximate distributed kinematic properties of the deformed structure. The proposed nonlinear beam…

Classical Physics · Physics 2018-09-05 C. Howcroft , R. G. Cook , S. A. Neild , M. H. Lowenberg , J. E. Cooper , E. B. Coetzee

We present SoftSMPL, a learning-based method to model realistic soft-tissue dynamics as a function of body shape and motion. Datasets to learn such task are scarce and expensive to generate, which makes training models prone to overfitting.…

Computer Vision and Pattern Recognition · Computer Science 2020-12-11 Igor Santesteban , Elena Garces , Miguel A. Otaduy , Dan Casas

Modeling membrane interactions with arbitrarily shaped colloidal particles, such as environmental micro- and nanoplastics, at the cell scale remains particularly challenging, owing to the complexity of particle geometries and the need to…

Soft Condensed Matter · Physics 2025-09-15 Didarul Ahasan Redwan , Justin Reicher , Xin Yong

In this work, a linear Kirchhoff-Love shell formulation in the framework of scaled boundary isogeometric analysis is presented that aims to provide a simple approach to trimming for NURBS-based shell analysis. To obtain a global C1-regular…

Numerical Analysis · Mathematics 2023-04-13 Mathias Reichle , Jeremias Arf , Bernd Simeon , Sven Klinkel

A kinetic model for granular mixtures is considered to study three different non-equilibrium situations. The model is based on the equivalence between a gas of elastic hard spheres subjected to a drag force proportional to the particle…

Soft Condensed Matter · Physics 2025-02-27 Pablo Avilés , David González Méndez , Vicente Garzó

We use an elastic model to explore faceting of solid-wall vesicles with elastic heterogeneities. We show that faceting occurs in regions where the vesicle wall is softer, such as areas of reduced wall thicknesses or concentrated in…

Soft Condensed Matter · Physics 2012-05-30 Rastko Sknepnek , Monica Olvera de la Cruz

Inspired by recent results on self-avoiding inextensible curves, we propose and experimentally investigate a numerical method for simulating isometric plate bending without self-intersections. We consider a nonlinear two-dimensional…

Numerical Analysis · Mathematics 2021-08-12 Sören Bartels , Frank Meyer , Christian Palus

For Kichhoff-Love shell problems a new mixed formulation solely based on standard $H^1$ spaces is presented. This allows for flexibility in the construction of discretization spaces, e.g., standard $C^0$-coupling of multi-patch isogeometric…

Numerical Analysis · Mathematics 2019-01-30 Katharina Rafetseder , Walter Zulehner

In this work, an efficient and robust isogeometric three-dimensional solid-beam finite element is developed for large deformations and finite rotations with merely displacements as degrees of freedom. The finite strain theory and…

Numerical Analysis · Mathematics 2023-12-13 Abdullah Shafqat , Oliver Weeger , Bai-Xiang Xu

A dielectric elastomer whose edges are held fixed will buckle, given sufficient applied voltage, resulting in a nontrivial out-of-plane deformation. We study this situation numerically using a nonlinear elastic model which decouples two of…

Applied Physics · Physics 2018-02-12 Jacob Langham , Hadrien Bense , Dwight Barkley

We provide the first characterization of the nonlinear and time dependent rheologic response of viscoelastic bottom-up holographic models. More precisely, we perform oscillatory shear tests in holographic massive gravity theories with…

High Energy Physics - Theory · Physics 2020-02-28 Matteo Baggioli , Sebastian Grieninger , Hesam Soltanpanahi

A new model of metal viscoplasticity, which takes combined isotropic, kinematic, and distortional hardening into account, is presented. The basic modeling assumptions are illustrated using a new two-dimensional rheological analogy. This…

Numerical Analysis · Mathematics 2013-02-22 A. V. Shutov , J. Ihlemann

Penalty methods have proven to be particularly effective for achieving the required $C^1$-continuity in the context of multi-patch isogeometric Kirchhoff-Love shells. Due to their conceptual simplicity, these algorithms are readily…

Numerical Analysis · Mathematics 2021-10-13 Luca Coradello , Josef Kiendl , Annalisa Buffa

In this contribution, the use of discrete simulations to formulate an anisotropic damage model is investigated. It is proposed to use a beam-particle model to perform numerical characterization tests. Indeed, this discrete model explicitly…

Classical Physics · Physics 2021-05-19 C Oliver-Leblond , R Desmorat , Boris Kolev

We consider the point indentation of a pressurized, spherical elastic shell. Previously it was shown that such shells wrinkle once the indentation reaches a threshold value. Here, we study the behaviour of this system beyond the onset of…

Soft Condensed Matter · Physics 2015-11-25 Dominic Vella , Hamid Ebrahimi , Ashkan Vaziri , Benny Davidovitch