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相关论文: Nonlinear Mechanics of Remodeling

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Bone remodeling involves the coordinated removal of bone by osteoclasts and addition of bone by osteoblasts, a process that is modulated by the prevailing mechanical environment. In this paper a fully coupled model of bone remodeling is…

组织与器官 · 定量生物学 2012-08-02 Stefan Scheiner , Peter Pivonka , Christian Hellmich , David W. Smith

Fiber-reinforcement is a universal feature of many biological tissues. It involves the interplay between fiber stiffness, fiber orientation, and the elastic properties of the matrix, influencing pattern formation and evolution in layered…

软凝聚态物质 · 物理学 2025-04-29 Yang Liu , Rui-Cheng Liu , Wanyu Ma , Alain Goriely

A fundamental assumption in our understanding of material rheology is that when microscopic deformations are reversible, the material responds elastically to external loads. Plasticity, i.e. dissipative and irreversible macroscopic changes…

软凝聚态物质 · 物理学 2009-11-13 M. Lundberg , K. Krishan , N. Xu , C. S. O'Hern , M. Dennin

Disordered solids often change their elastic response as they slowly age. Using experiments and simulations, we study how aging disordered planar networks under an applied stress affects their nonlinear elastic response. We are able to…

软凝聚态物质 · 物理学 2020-11-18 Daniel Hexner , Nidhi Pashine , Andrea J. Liu , Sidney R. Nagel

A mesoscopic model for shear plasticity of amorphous materials in two dimensions is introduced, and studied through numerical simulations in order to elucidate the macroscopic (large scale) mechanical behavior. Plastic deformation is…

软凝聚态物质 · 物理学 2012-05-17 Mehdi Talamali , Viljo Petäjä , Damien Vandembroucq , Stéphane Roux

Remodelling of biological tissue, due to changes in microstructure, is treated in the continuum mechanical setting. Microstructural change is expressed as an evolution of the reference configuration. This evolution is expressed as a…

定量方法 · 定量生物学 2007-05-23 K. Garikipati , H. Narayanan , E. M. Arruda , K. Grosh , S. Calve

The mechanical properties of vertebrate bone are largely determined by a process which involves the complex interplay of three different cell types. This process is called {\it bone remodeling}, and occurs asynchronously at multiple sites…

组织与器官 · 定量生物学 2011-11-30 Marc Ryser , Svetlana V. Komarova , Nilima Nigam

Using a discrete-element approach and a bonding interaction law, we model and test crushable inherently anisotropic structures reminiscent of the layering found in sedimentary and metamorphic rocks. By systematically modifying the level of…

软凝聚态物质 · 物理学 2021-06-09 David Cantor , Carlos Ovalle , Emilien Azéma

We consider an infinite 3-dimensional elastic continuum whose material points experience no displacements, only rotations. This framework is a special case of the Cosserat theory of elasticity. Rotations of material points are described…

数学物理 · 物理学 2011-11-23 Christian G. Boehmer , Robert J. Downes , Dmitri Vassiliev

We present a method for computing locally varying nonlinear mechanical properties in particle simulations of amorphous solids. Plastic rearrangements outside a probed region are suppressed by introducing an external field that directly…

软凝聚态物质 · 物理学 2023-07-18 Jörg Rottler , Céline Ruscher , Peter Sollich

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes,…

无序系统与神经网络 · 物理学 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

We develop a general incremental framework for hyperelastic solids whose surfaces exhibit both stretch-dependent and curvature-dependent elastic behavior. Building upon a variational formulation of curvature-dependent surface elasticity, we…

数学物理 · 物理学 2026-01-08 Xiang Yu , Michal Šmejkal , Martin Horák

Stress propagation in nonlinear media is crucial in cell biology, where molecular motors exert anisotropic force dipoles on the fibrous cytoskeleton. While the force dipoles can be either contractile or expansile, a medium made of fibers…

软凝聚态物质 · 物理学 2022-06-14 Félix Benoist , Guglielmo Saggiorato , Martin Lenz

The mechanical response, serviceability, and load bearing capacity of materials and structural components can be adversely affected due to external stimuli, which include exposure to a corrosive chemical species, high temperatures,…

材料科学 · 物理学 2016-07-20 C. Xu , M. K. Mudunuru , K. B. Nakshatrala

We start from a variational model for nematic elastomers that involves two energies: mechanical and nematic. The first one consists of a nonlinear elastic energy which is influenced by the orientation of the molecules of the nematic…

偏微分方程分析 · 数学 2017-06-30 Carlos Mora-Corral , Marcos Oliva

Large scale features of a randomly isotropically forced incompressible and unbounded rotating fluid are examined in perturbation theory. At first order in both the random force amplitude and the angular velocity we find two types of…

流体动力学 · 物理学 2009-11-10 Jose Gaite , David Hochberg , Carmen Molina-Paris

Modern inelastic material model formulations rely on the use of tensor-valued internal variables. When inelastic phenomena include softening, simulations of the former are prone to localization. Thus, an accurate regularization of the…

计算工程、金融与科学 · 计算机科学 2024-08-13 Tim van der Velden , Tim Brepols , Stefanie Reese , Hagen Holthusen

The effect of alternating shear orientation during cyclic loading on the relaxation dynamics in disordered solids is examined using molecular dynamics simulations. The model glass was initially prepared by rapid cooling from the liquid…

软凝聚态物质 · 物理学 2019-10-24 Nikolai V. Priezjev

The large deflections of cantilevered beams and plates are modeled and discussed. Traditional nonlinear elastic models (e.g., that of von Karman) employ elastic restoring forces based on the effect of stretching on bending, and these are…

偏微分方程分析 · 数学 2022-05-25 Maria Deliyianni , Kevin McHugh , Justin T. Webster , Earl Dowell

We present a theory of viscoelasticity of amorphous media, which takes into account the effects of confinement along one of three spatial dimensions. The framework is based on the nonaffine extension of lattice dynamics to amorphous…

软凝聚态物质 · 物理学 2021-03-10 A. E. Phillips , M. Baggioli , T. W. Sirk , K. Trachenko , A. Zaccone