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The purpose of this study is to propose a modified micromorphic continuum model for granular materials based on a micromechanics approach. In this model, Cauchy stress and the couple stress are symmetric conjugated with the symmetric strain…

Geophysics · Physics 2019-07-12 Chenxi Xiu , Xihua Chu

The Eshelbian (or configurational) force is the main concept of a celebrated theoretical framework associated with the motion of dislocations and, more in general, defects in solids. In a similar vein, in an elastic structure where a…

Soft Condensed Matter · Physics 2015-09-21 Davide Bigoni , Francesco Dal Corso , Federico Bosi , Diego Misseroni

Biological cells can actively tune their intracellular architecture according to their overall shape. Here we explore the rheological implication of such coupling in a minimal model of a dense cellular material where each cell exerts an…

Soft Condensed Matter · Physics 2022-04-13 Shao-Zhen Lin , Matthias Merkel , Jean-François Rupprecht

We investigate linear theories of incompatible micromorphic elasticity, incompatible microstretch elasticity, incompatible micropolar elasticity and the incompatible dilatation theory of elasticity (elasticity with voids). The…

Materials Science · Physics 2015-11-10 Markus Lazar , Gerard A. Maugin

Cells are known to sense and respond to their mechanical microenvironment in profound ways. Various evidence has implicated the adhesome, a body of adhesion associated proteins, in several cell fate decisions, including differentiation and…

Cell Behavior · Quantitative Biology 2020-05-12 Zachary Reitz

Living soft tissues appear to promote the development and maintenance of a preferred mechanical state within a defined tolerance around a so-called set-point. This phenomenon is often referred to as mechanical homeostasis. In contradiction…

Computational Engineering, Finance, and Science · Computer Science 2021-09-23 Jonas F. Eichinger , Maximilian J. Grill , Iman Davoodi Kermani , Roland C. Aydin , Wolfgang A. Wall , Jay D. Humphrey , Christian J. Cyron

A number of factors, such as, cell-cell interactions and self-propulsion of cells driven by cytoskeletal forces determine tissue morphologies and dynamics. To explore the interplay between these factors in controlling the dynamics at the…

Soft Condensed Matter · Physics 2025-05-12 Rajsekhar Das , Xin Li , Sumit Sinha , D. Thirumalai

We develop a microscopic biophysical model for self-organization and reshaping of artificial tissue, that is co-driven by microscopic active forces between cells and extracellular matrix (ECM), and macroscopic forces that develop within the…

Biological Physics · Physics 2020-11-18 J. P. Hague , P. W. Mieczkowski , C. O'Rourke , A. J. Loughlin , J. B. Phillips

The buckling of a soft elastic sample under growth or swelling has highlighted a new interest in materials science, morphogenesis, and biology or physiology. Indeed, the change of mass or volume is a common fact of any living species, and…

Soft Condensed Matter · Physics 2023-09-21 Martine Ben Amar

Collective cell motions underlie structure formation during embryonic development. Tissues exhibit emergent multicellular characteristics such as jamming, rigidity transitions, and glassy dynamics, but there remain questions about how those…

Biological Physics · Physics 2023-12-13 Evan Thomas , Sevan Hopyan

The collective properties of small material systems considered as semidynamical systems revealing the Markov-type irreversible evolution, are investigated. It is shown that these material systems admit their treatment as thermodynamic…

Mathematical Physics · Physics 2015-09-08 Andrzej Trzesowski

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…

Tissues and Organs · Quantitative Biology 2012-08-02 Stefan Scheiner , Peter Pivonka , Christian Hellmich , David W. Smith

In Part I of this article we have developed a novel mechanobiological model of a Tissue Engineering process that accounts for the mechanisms through which an isotropic or anisotropic adherence condition regulates the active functions of the…

Numerical Analysis · Mathematics 2015-12-14 Chiara Lelli , Riccardo Sacco , Paola Causin , Manuela T. Raimondi

With a loose reference to problems of penetration in biomechanics (for instance, a nanoparticle penetrating through a cell's membrane or a cell sucked with a pipette), the role of configurational forces is investigated during the process in…

Soft Condensed Matter · Physics 2022-12-02 Davide Bigoni , Marco Amato , Francesco Dal Corso

Animal morphogenesis often involves significant shape changes of epithelial tissue sheets. Great progress has been made in understanding the underlying cellular driving forces and their coordination through biomechanical feedback loops.…

Soft Condensed Matter · Physics 2024-09-23 Nikolas H. Claussen , Fridtjof Brauns

Bone adapts in response to its mechanical environment. This evolution of bone density is one of the most important mechanisms for developing fracture resistance. A finite element framework for simulating bone adaptation, commonly called…

Computational Engineering, Finance, and Science · Computer Science 2020-01-06 Karol Lewandowski , Łukasz Kaczmarczyk , Ignatios Athanasiadis , John F. Marshall , Chris J. Pearce

Plasticity in soft amorphous materials typically involves collective deformation patterns that emerge upon intense shearing. The microscopic basis of amorphous plasticity has been commonly established through the notion of "Eshelby"-type…

Soft Condensed Matter · Physics 2019-07-31 Kamran Karimi , David Amitrano , Jerome Weiss

The discovery of configurational forces acting on elastic structures and its initial applications are reviewed. Configurational forces are related to the possibility that an elastic structure can change its configuration, thus inducing a…

Soft Condensed Matter · Physics 2022-11-24 Davide Bigoni , Federico Bosi , Francesco Dal Corso , Diego Misseroni

The measurement of cellular traction forces on soft elastic substrates has become a standard tool for many labs working on mechanobiology. Here we review the basic principles and different variants of this approach. In general, the…

Quantitative Methods · Quantitative Biology 2015-06-09 Ulrich S. Schwarz , Jerome R. D. Soine

Matrix stiffness expressions are derived for the particle movements in an assembly of rigid granules having compliant contacts. The derivations include stiffness terms that arise from the particle shapes at their contacts. These geometric…

Soft Condensed Matter · Physics 2019-01-23 Matthew R. Kuhn , Ching S. Chang