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This paper proposes a unified approach for dynamic modeling and simulations of general tensegrity structures with rigid bars and rigid bodies of arbitrary shapes. The natural coordinates are adopted as a non-minimal description in terms of…

Computational Engineering, Finance, and Science · Computer Science 2024-08-30 Jiahui Luo , Xiaoming Xu , Zhigang Wu , Shunan Wu

This work concerns the modeling of radiative transfer in anisotropic turbid media using diffusion theory. A theory for the relationship between microscopic scattering properties (i.e., an arbitrary differential scattering cross-section) and…

Optics · Physics 2014-08-14 Erik Alerstam

All hydrodynamical simulations of turbulent astrophysical phenomena require sub-grid scale models to properly treat energy dissipation and metal mixing. We present the first implementation and application of an anisotropic eddy viscosity…

Astrophysics of Galaxies · Physics 2021-07-02 Douglas Rennehan

This paper is the second part of a work devoted to the modelling of thin elastic plates with small, periodically distributed piezoelectric inclusions. We consider the equations of linear elasticity coupled with the electrostatic equation,…

Analysis of PDEs · Mathematics 2013-11-06 Eric Canon , Michel Lenczner

We present a physics-based framework to simulate porous, deformable materials and interactive tools with haptic feedback that can reshape it. In order to allow the material to be moulded non-homogeneously, we propose an algorithm to change…

Graphics · Computer Science 2022-02-24 Avirup Mandal , Parag Chaudhuri , Subhasis Chaudhuri

This paper presents a numerical method for the simulation of multiscale materials composed of an elastic matrix and slender active inclusions. The setting is motivated by the modeling of vascularized tissues and by problems arising in the…

Numerical Analysis · Mathematics 2025-08-19 Camilla Belponer , Alfonso Caiazzo , Luca Heltai

This work develops a computational and theoretical framework for determining effective permeabilities in anisotropic microscopic geometries containing dense, fibre-like obstacles, motivated by the need to model flow in coiled aneurysm…

Weakly collisional space plasmas are rarely in local thermal equilibrium and often exhibit non-Maxwellian electron and ion velocity distributions that lead to the growth of microinstabilities, that is, enhanced electric and magnetic fields…

We develop a general continuum mechanics framework for active anisotropic plates within the F\"oppl-von K\'arm\'an limit, incorporating a preferential direction and inelastic active contractions in geometrically nonlinear plate theory.…

Soft Condensed Matter · Physics 2025-12-24 Gabriele Fioretto , Giulio Lucci , Chiara Giverso , Luigi Preziosi

The overarching goal of this work is to develop an accurate, robust, and stable methodology for finite deformation modeling using strong-form peridynamics (PD) and the correspondence modeling framework. We adopt recently developed methods…

Numerical Analysis · Mathematics 2020-04-27 Masoud Behzadinasab , John T. Foster , Yuri Bazilevs

A typical inflatable reflector for space application consists of two thin membranes with a parabolic shape. It is critical to understand the interaction of the inflatable and the micrometeoroid environment to which it is exposed. This…

Instrumentation and Methods for Astrophysics · Physics 2022-04-19 Michaela N. Villarreal , Jonathan W. Arenberg , Lauren Halvonik Harris

Thermal fluctuations of microtubules (MTs) and other cytoskeletal filaments govern to a great extent the complex rheological properties of the cytoskeleton in eukaryotic cells. In recent years, much effort has been put into capturing the…

Soft Condensed Matter · Physics 2011-10-26 Sander L. Poelert , Harrie H. Weinans , Amir A. Zadpoor

Structurally and chemically complex materials such as amorphous metallosilicates underpin major catalytic and separation technologies, yet their intrinsic complexity challenges reliable atomistic modeling under realistic conditions.…

In the mechanics of inviscid conservative fluids, it is classical to generate the equations of dynamics by formulating with adequate variables, that the pressure integral calculated in the time-space domain corresponding to the motion of…

Classical Physics · Physics 2008-07-23 Henri Gouin , Jean-François Debieve

The overall behavior of a 2D lattice of voids embedded in an anisotropic matrix is investigated in the limit of vanishing porosity f. An effective-medium model (of the Hashin-Shtrikman type) which accounts for elastic interactions between…

Materials Science · Physics 2008-09-19 Francois Willot , Yves-Patrick Pellegrini , Martin I. Idiart , Pedro Ponte Castaneda

Composite materials often exhibit mechanical anisotropy owing to the material properties or geometrical configurations of the microstructure. This makes their inverse design a two-fold problem. First, we must learn the type and orientation…

Computational Engineering, Finance, and Science · Computer Science 2024-12-19 Asghar A. Jadoon , Karl A. Kalina , Manuel K. Rausch , Reese Jones , Jan N. Fuhg

In this paper, we study the anisotropy classes of the fourth order elastic tensors of the relaxed micromorphic model, also introducing their second order counterpart by using a Voigt-type vector notation. In strong contrast with the usual…

We propose a robust simulation method for phospholipid membranes. It is based on a mixed three-field formulation that accounts for tangential fluidity (Boussinesq-Scriven law), bending elasticity (Canham-Helfrich model) and inextensibility.…

Numerical Analysis · Mathematics 2018-06-18 Diego S. Rodrigues , Roberto F. Ausas , Fernando Mut , Gustavo C. Buscaglia

Incompressibility is established for three-dimensional and two-dimensional deformations of an anisotropic linearly elastic material, as conditions to be satisfied by the elastic compliances. These conditions make it straightforward to…

Soft Condensed Matter · Physics 2013-05-23 Michel Destrade , Paul A. Martin , Tom C. T. Ting

Understanding and controlling fracture propagation is one of the most challenging engineering problems, especially in the oil and gas sector, groundwater hydrology and geothermal energy applications. Predicting the fracture orientation…

Materials Science · Physics 2023-04-04 Ramesh Kannan Kandasami , Charalampos Konstantinou , Giovanna Biscontin