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Cohesive zone models do not consider the lateral contraction of adhesive layers under tensile loads. The constraint of the lateral contraction by the adherents which depends on the geometry of the adhesive layer has a major influence on the…

Materials Science · Physics 2015-11-09 Olaf Hesebeck

According to flexure theory of plate, on the premise of plane deformation assumption, an analytic model of U-free bend theory is proposed in this paper, which considered the harden, anisotropy and elastic deformation of material. Then the…

Classical Physics · Physics 2013-07-24 Chun-jian Su , Wei-wei Wang , Su-min Guo

In this work, we combine the nonlocal theory of Eringen into the E-B beam bending together with nonlinear kinematics [3]. We briefly present the derivation and key equations of this nonlinearnonlocal beam theory and investigate the role of…

Computational Physics · Physics 2012-11-29 Chi Huan Nguyen , Shailendra P. Joshi

Euler buckling epitomises mechanical instabilities: An inextensible straight elastic line buckles under compression when the compressive force reaches a critical value $F_\ast>0$. Here, we extend this classical, planar instability to the…

Soft Condensed Matter · Physics 2025-12-12 Shiheng Zhao , Pierre A. Haas

Like in liquids, objects moving in granular materials experience a drag force. We investigate here whether and how the object acceleration affect this drag force. The study is based on simulations of a canonical drag test, which involves…

Soft Condensed Matter · Physics 2019-07-15 Shivakumar Athani , Pierre Rognon

Non-Euclidean plates are a subset of the class of elastic bodies having no stress-free configuration. Such bodies exhibit residual stress when relaxed from all external constraints, and may assume complicated equilibrium shapes even in the…

Soft Condensed Matter · Physics 2009-11-13 Efi Efrati , Eran Sharon , Raz Kupferman

Non-Euclidean plates are thin elastic bodies having no stress-free configuration, hence exhibiting residual stresses in the absence of external constraints. These bodies are endowed with a three-dimensional reference metric, which may not…

Soft Condensed Matter · Physics 2009-05-29 Efi Efrati , Eran Sharon , Raz Kupferman

After a brief introduction to several variational problems in the study of shapes of thin thickness structures, we deal with variational problems on 2-dimensional surface in 3-dimensional Euclidian space by using exterior differential…

Mathematical Physics · Physics 2007-05-23 Z. C. Tu , Z. C. Ou-Yang

We present a numerical study on the rheology of semi-dilute and concentrated filament suspensions of different bending stiffness and Reynolds number, with the immersed boundary method used to couple the fluid and solid. The filaments are…

Fluid Dynamics · Physics 2019-11-13 Arash Alizad Banaei , Marco Edoardo Rosti , Luca Brandt

Mechanical cantilevers are central to nanotechnology, with ultimate sensitivity achieved at the atomic limit, where low bending rigidity makes stability the fundamental challenge. Here, we introduce a wrinkle-induced stiffening approach…

Mesoscale and Nanoscale Physics · Physics 2025-08-25 Hadi Arjmandi-Tash , Roshan Prasad , Hanqing Liu , Gerard Verbiest , Dominic Vella , Farbod Alijani

Many interesting shapes appearing in the biological world are formed by the onset of mechanical instability. In this work we consider how the build-up of residual stress can cause a solid to buckle. In all past studies a fictitious…

Soft Condensed Matter · Physics 2020-09-15 Pasquale Ciarletta , Michel Destrade , Artur L. Gower , Matteo Taffetani

The motion of an object within a viscous fluid and in the vicinity of a soft surface induces a hydrodynamic stress field that deforms the latter, thus modifying the boundary conditions of the flow. This results in elastohydrodynamic (EHD)…

Soft Condensed Matter · Physics 2023-06-22 Vincent Bertin , Yacine Amarouchene , Elie Raphael , Thomas Salez

When a flexible filament is confined to a fluid interface, the balance between capillary attraction, bending resistance, and tension from an external source can lead to a self-buckling instability. We perform an analysis of this instability…

Soft Condensed Matter · Physics 2013-02-12 Arthur A. Evans , Saverio E. Spagnolie , Denis Bartolo , Eric Lauga

In this paper, we present a 2D numerical model developed to simulate the dynamics of soft, deformable particles. To accommodate significant particle deformations, the particle surface is represented as a narrow shell composed of mass points…

Computational Physics · Physics 2025-04-01 Yohann Trivino , Vincent Richefeu , Farhang Radjai , Komlanvi Lampoh , Jean-Yves Delenne

We propose a generic model to describe the mechanical response and failure of systems which undergo a series of stick-slip events when subjected to an external load. We model the system as a bundle of fibers, where single fibers can…

Disordered Systems and Neural Networks · Physics 2011-04-28 Zoltan Halasz , Ferenc Kun

Filler-induced strengthening is ubiquitous in materials science and is particularly well-established in polymeric nanocomposites. Despite having similar constituents, colloidal gels with solid filling exhibit distinct rheology, which is of…

Soft Condensed Matter · Physics 2025-04-29 Yujie Jiang , Yang Cui , Yankai Li , Zhiwei Liu , Christopher Ness , Ryohei Seto

We investigate the elastic behavior of two-dimensional crystalline membrane embedded into real space taking into account the presence an arbitrary number of flexural phonon modes $d_c$ (the number of out-of-plane deformation field…

Statistical Mechanics · Physics 2024-03-29 D. A. Ivanov , A. Kudlis , I. S. Burmistrov

This paper extends the distributed rolling contact FrBD framework to linear viscoelasticity by considering classic derivative Generalised Maxwell and Kelvin-Voigt rheological representations of the bristle element. With this modelling…

Applied Physics · Physics 2026-04-30 Luigi Romano

We formulate a phenomenological elasto-plastic theory to describe a solid undergoing a structural transition from a square (p4mm) to an oblique (p2) lattice in two dimensions. Within our theory, the components of the strain may be…

Materials Science · Physics 2010-03-18 Arya Paul , Surajit Sengupta , Madan Rao

A model (further referred to as the enhanced vector-based model or EVM) for elastic bonds in solids, composed of bonded particles is presented. The model can be applied for a description of elastic deformation of rocks, ceramics, concrete,…

Soft Condensed Matter · Physics 2017-11-29 Vitaly A. Kuzkin , Anton M. Krivtsov