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A displacement-based, geometrically nonlinear finite element model is developed for lattice core sandwich panels modeled as 2-D equivalent single-layer (ESL), first-order shear deformation theory (FSDT) micropolar plates. The nonlinearity…

应用物理 · 物理学 2020-10-14 Praneeth Nampally , Anssi T. Karttunen , JN Reddy

Invariant-based models for incompressible isotropic hyperelasticity are typically formulated as functions of the first and second invariants, $W = W(\bar{I}_1, \bar{I}_2)$. A widely used class of models employs separable representations of…

计算工程、金融与科学 · 计算机科学 2026-04-14 Simon Wiesheier , Miguel Angel Moreno-Mateos , Paul Steinmann

This work presents a numerical formulation to model isotropic viscoelastic material behavior for membranes and thin shells. The surface and the shell theory are formulated within a curvilinear coordinate system, which allows the…

计算工程、金融与科学 · 计算机科学 2022-08-24 Karsten Paul , Roger A. Sauer

We present a procedure to map the constitutive laws of elasticity (both in the linear and nonlinear regime) onto a discrete atomic lattice and we apply the resulting elastic lattice model to investigate the strain field within an embedded…

介观与纳米尺度物理 · 物理学 2015-05-19 Pier Luca Palla , Stefano Giordano , Luciano Colombo

A self-consistent theory for the classical description of the interaction of light and matter at the nano-scale is presented, which takes into account spatial dispersion. Up to now, the Maxwell equations in nanostructured materials with…

光学 · 物理学 2020-10-07 J. V. Alvarez , Bahram Djafari-Rouhani , Dani Torrent

Covering elastic substrates with stiff biomimetic scales significantly alters the bending behavior via scales engagement. This engagement is the dominant source of nonlinearity in small deflection regime. As deformation proceeds, an…

软凝聚态物质 · 物理学 2019-11-07 Hessein Ali , Hossein Ebrahimi , Ranajay Ghosh

Modeling relaxation phenomena in complex media is central to understanding multiscale dynamics in materials science, bioengineering and condensed matter physics. Existing fractional-order models, while flexible, sometimes lack physical…

计算物理 · 物理学 2026-04-28 Ivano Colombaro , Marc Tudela-Pi

We present a general and systematic theory of non-equilibrium dynamics of multi-component fluid membranes, in general, and membranes containing transmembrane proteins, in particular. Developed based on a minimal number of principles of…

软凝聚态物质 · 物理学 2009-11-10 Michael A. Lomholt , Per L. Hansen , Ling Miao

Dislocations are the main carriers of plastic deformation in crystalline materials. Physically based constitutive equations of crystal plasticity typically incorporate dislocation mechanisms, using a dislocation density based description of…

材料科学 · 物理学 2022-01-19 Ronghai Wu , Michael Zaiser

This work presents a unified viscoelastic-viscoplastic continuum framework for modeling rate-dependent granular flows across regimes. The formulation incorporates two distinct rate-dependent mechanisms, namely micro-inertia and viscoelastic…

软凝聚态物质 · 物理学 2026-04-28 Bodhinanda Chandra , Sachith Dunatunga , Ken Kamrin

A topology optimization method is presented for the design of periodic microstructured materials with prescribed homogenized nonlinear constitutive properties over finite strain ranges. The mechanical model assumes linear elastic isotropic…

计算工程、金融与科学 · 计算机科学 2020-05-20 Reza Behrou , Maroun Abi Ghanem , Brianna C. Macnider , Vimarsh Verma , Ryan Alvey , Jinho Hong , Ashley F. Emery , Hyunsun Alicia Kim , Nicholas Boechler

The interaction between thin structures and incompressible Newtonian fluids is ubiquitous both in nature and in industrial applications. In this paper we present an isogeometric formulation of such problems which exploits a boundary…

数值分析 · 数学 2017-02-17 Luca Heltai , Josef Kiendl , Antonio DeSimone , Alessandro Reali

Flow-induced failure of granular materials is relevant to a broad range of geomechanical applications. Plasticity, which is the inherent failure mechanism of most granular materials, enables large deformations that can invalidate linearised…

应用物理 · 物理学 2019-08-26 Lucy C. Auton , Christopher W. MacMinn

Understanding the mechanical response and failure of solids is of obvious importance in their use as structural materials. The nature of plastic deformation leading to yielding of amorphous solids has been vigorously pursued in recent…

软凝聚态物质 · 物理学 2021-06-30 Srikanth Sastry

We present a novel formalism to characterize elastic heterogeneities in amorphous solids. In particular, we derive high-order strain-energy expansions for pairwise energies under athermal quasistatic dynamics. We then use the presented…

软凝聚态物质 · 物理学 2024-01-03 David Richard

The present contribution proposes a general constitutive model to simulate the orthotropic stiffness, pre-peak nonlinearity, failure envelopes, and the post-peak softening and fracture of textile composites. Following the microplane model…

材料科学 · 物理学 2015-09-09 Marco Salviato , Shiva Esna Ashari Esfahani , Gianluca Cusatis

Formulating an appropriate elasto-viscoplastic constitutive equation is challenging, especially for a model describing pre-yielding solid and post-yielding liquid behaviours. Oldroyds 1946 formulation was one of the first models explaining…

软凝聚态物质 · 物理学 2023-06-19 Lalit Kumar

We consider here a discrete system of spheres interacting through a lubrication force. This force is dissipative, and singular near contact: it behaves like the reciprocal of interparticle distance. We propose a macroscopic constitutive…

偏微分方程分析 · 数学 2012-09-06 Aline Lefebvre-Lepot , Bertrand Maury , Aline Lefebvre

This study explores the role that the microstructure plays in determining the macroscopic static response of porous elastic continua and exposes the occurrence of position-dependent nonlocal effects that are strictly correlated to the…

材料科学 · 物理学 2022-09-30 Sansit Patnaik , Mehdi Jokar , Wei Ding , Fabio Semperlotti

In this general report, experimental systems and procedures of investigating the hydro-mechanical behaviour of unsaturated soils are presented. The water retention properties of unsaturated soils are commented and linked to various physical…

地球物理 · 物理学 2008-12-18 Pierre Delage