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Incompressible nonlinearly hyperelastic materials are rarely simulated in Finite Element numerical experiments as being perfectly incompressible because of the numerical difficulties associated with globally satisfying this constraint. Most…

Soft Condensed Matter · Physics 2020-09-07 Aisling Ni Annaidh , Michel Destrade , Michael D. Gilchrist , Jerry G. Murphy

Metamaterials and metasurfaces are designed by periodically arranged subwavelength geometries, allowing a tailored manipulation of the electromagnetic response of matter. Here, we exploit temporal variations of permittivity inside…

Optics · Physics 2025-09-24 Victor Pacheco-Peña , Nader Engheta

In this paper we consider the inverse problem of determining a rigid inclusion inside a thin plate by applying a couple field at the boundary and by measuring the induced transversal displacement and its normal derivative at the boundary of…

Analysis of PDEs · Mathematics 2011-11-03 Antonino Morassi , Edi Rosset , Sergio Vessella

We investigate the out-of-plane shape morphing capability of single-material elastic sheets with architected cut patterns that result in arrays of tiles connected by flexible hinges. We demonstrate that a non-periodic cut pattern can cause…

With the achievement on the additive manufacturing, the mechanical properties of architectured materials can be precisely designed by tailoring microstructures. As one of the primary design objectives, the elastic isotropy is of great…

Applied Physics · Physics 2021-04-15 Anran Wei , Jie Xiong , Weidong Yang , Fenglin Guo

The simulation of growth processes within soft biological tissues is of utmost importance for many applications in the medical sector. Within this contribution we propose a new macroscopic approach fro modelling stress-driven volumetric…

Computational Engineering, Finance, and Science · Computer Science 2022-01-21 L. Lamm , H. Holthusen , T. Brepols , S. Jockenhövel , S. Reese

Cluster formation of microscopic swimmers is key to the formation of biofilms and colonies, efficient motion and nutrient uptake, but, in the absence of other interactions, requires high swimmer concentrations to occur. Here we…

Soft Condensed Matter · Physics 2023-08-22 Solenn Riedel , Ludwig A. Hoffmann , Luca Giomi , Daniela J. Kraft

Rock formations often exhibit transversely anisotropic elastic behavior due to their layered structure. Such materials are characterized by five independent elastic constants. In the context of petroleum applications, it is often…

Geophysics · Physics 2024-07-24 E. V. Dontsov

Triply periodic minimal surface (TPMS) shell lattices are attracting increasingly attention due to their unique combination of geometric and mechanical properties, and their open-cell topology. However, uniform thickness TPMS shell lattices…

Numerical Analysis · Mathematics 2021-09-24 Qingping Ma , Lei Zhang , Junhao Ding , Shuo Qu , Jin Fu , Mingdong Zhou , Ming Wang Fu , Xu Song , Michael Yu Wang

We investigate the structure and mechanical behavior of assemblies of frictionless, nearly rigid equal-sized beads, in the quasistatic limit, by numerical simulation. Three different loading paths are explored: triaxial compression,…

Materials Science · Physics 2008-10-24 Pierre-Emmanuel Peyneau , Jean-Noël Roux

Anisotropic mesh adaptation is studied for linear finite element solution of 3D anisotropic diffusion problems. The M-uniform mesh approach is used, where an anisotropic adaptive mesh is generated as a uniform one in the metric specified by…

Numerical Analysis · Mathematics 2020-04-20 Xianping Li , Weizhang Huang

This note deals with stiffness tensors measured from anisotropic linear elastic materials, whose symmetry is unknown. Their possible symmetries (exact or approximative) are revealed by a pole figure. An intrinsic function allows one to…

Classical Physics · Physics 2010-01-14 Marc Louis Maurice François , Yves Berthaud , Giuseppe Geymonat

We propose a decomposition of constitutive relations into crack-driving and persistent portions, specifically designed for materials with anisotropic/orthotropic behavior in the phase field approach to fracture to account for the…

Numerical Analysis · Mathematics 2022-12-28 Vahid Ziaei-Rad , Mostafa Mollaali , Thomas Nagel , Olaf Kolditz , Keita Yoshioka

We study inverse problems in anisotropic elasticity using tools from algebraic geometry. The singularities of solutions to the elastic wave equation in dimension $n$ with an anisotropic stiffness tensor have propagation kinematics captured…

Differential Geometry · Mathematics 2025-05-01 Maarten V. de Hoop , Joonas Ilmavirta , Matti Lassas , Anthony Várilly-Alvarado

Composite materials with different microstructural material symmetries are common in engineering applications where grain structure, alloying and particle/fiber packing are optimized via controlled manufacturing. In fact these…

Materials Science · Physics 2024-04-30 Ravi Patel , Cosmin Safta , Reese E. Jones

This paper introduces a method to synthesize a 3D tensor field within a constrained geometric domain represented as a tetrahedral mesh. Whereas previous techniques optimize for isotropic fields, we focus on anisotropic tensor fields that…

Computational Geometry · Computer Science 2025-05-12 Haikuan Zhu , Hongbo Li , Hsueh-Ti Derek Liu , Wenping Wang , Jing Hua , Zichun Zhong

We propose a numerical strategy to generate the anisotropic meshes and select the appropriate stabilized parameters simultaneously for two dimensional convection-dominated convection-diffusion equations by stabilized continuous linear…

Numerical Analysis · Mathematics 2016-02-09 Yana Di , Hehu Xie , Xiaobo Yin

Mechanical couplings with symmetry breaking open up novel applications such as robotic metamaterials and directional mechanical signal guidance. However, most studies on 3D mechanical couplings have been limited to ad-hoc axial-twist…

Materials Science · Physics 2024-11-27 Dijia Zhong , Duo Qi , Jaehyung Ju

This paper studies the aeroelasticity of a stiffened cantilever plate using composite material and novel structural layouts. A comprehensive parametric study is conducted to determine the influence of different design parameters on the…

Fluid Dynamics · Physics 2023-11-03 Bara'ah Fraihat , Rafic Ajaj

Using the Boltzmann weights of classical Statistical Mechanics vertex models we define a new class of Tensor Product Ansatzs for 2D quantum lattice systems, characterized by a strong anisotropy, which gives rise to stripe like structures.…

Strongly Correlated Electrons · Physics 2009-11-07 M. A. Martin-Delgado , M. Roncaglia , G. Sierra
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