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Abstract. We present a framework for the kinematics of a material body undergoing anelastic deformation. For such processes, the material structure of the body, as reflected by the geometric structure given to the set of body points,…

数学物理 · 物理学 2023-01-23 Vladimir Goldshtein , Paolo Maria Mariano , Domenico Mucci , Reuven Segev

To analyze theoretically the stability of the shape and the migration process of transverse dunes and barchans, we propose a {\it skeleton model} of 3D dunes described with coupled dynamics of 2D cross-sections. First, 2D cross-sections of…

斑图形成与孤子 · 物理学 2012-01-05 Hirofumi Niiya , Akinori Awazu , Hiraku Nishimori

In this paper, the modelling strategy of a Cosserat rod element (CRE) is addressed systematically for 3-dimensional dynamical analysis of slender structures. We employ the exact nonlinear kinematic relationships in the sense of Cosserat…

泛函分析 · 数学 2007-05-23 D. Q. Cao , Dongsheng Liu , Charles H. -T. Wang

Connecting cell behavior to tissue shape and mechanics is a key challenge in the physics of morphogenesis. Cytoskeletal turnover precludes a fixed reference state, and tensions are actively generated independently of strain; so conventional…

软凝聚态物质 · 物理学 2026-05-28 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

Collagen networks provide the main structural component of most tissues and represent an important ingredient for bio-mimetic materials for bio-medical applications. Here we study the mechanical properties of stiff collagen networks derived…

A preliminary iterative 3D meso-scale structural model of the femur was developed, in which bar and shell elements were used to represent trabecular and cortical bone respectively. The cross-sectional areas of the bar elements and the…

医学物理 · 物理学 2012-03-01 Andrew T. M. Phillips

Designing and fabricating structures with specific mechanical properties requires understanding the intricate relationship between design parameters and performance. Understanding the design-performance relationship becomes increasingly…

图形学 · 计算机科学 2024-08-28 Samuel Silverman , Kelsey L. Snapp , Keith A. Brown , Emily Whiting

We have developed a simulation technique that uses non-linear finite element analysis and elastic fracture mechanics to compute physically plausible motion for three-dimensional, solid objects as they break, crack, or tear. When these…

图形学 · 计算机科学 2023-03-21 James F. O'Brien , Jessica K. Hodgins

Coordinated human movement depends on the integration of multisensory inputs, sensorimotor transformation, and motor execution, as well as sensory feedback resulting from body-environment interaction. Building dynamic models of the…

神经元与认知 · 定量生物学 2025-06-03 Chenhui Zuo , Guohao Lin , Chen Zhang , Shanning Zhuang , Yanan Sui

Muscle forces and joint kinematics estimated with musculoskeletal (MSK) modeling techniques offer useful metrics describing movement quality. Model-based computational MSK models can interpret the dynamic interaction between the neural…

机器学习 · 计算机科学 2023-09-13 Yue Shi , Shuhao Ma , Yihui Zhao

In the direct approach to continua in reduced space dimensions, a thin shell is described as a mathematical surface in three-dimensional space. An exploratory kinematic study of such surfaces could be very valuable, especially if conducted…

微分几何 · 数学 2025-12-25 Andre M. Sonnet , Epifanio G. Virga

Bone is a living material. It adapts, in an optimal sense, to loading by changing its density and trabeculae architecture - a process termed remodelling. Implanted orthopaedic devices can significantly alter the loading on the surrounding…

组织与器官 · 定量生物学 2017-05-24 H. Liedtke , A. T. McBride , S. Sivarasu , S. Roche

We describe a novel coarse-grained simulation method for modelling the dynamics of globular macromolecules, such as proteins. The macromolecule is treated as a continuum that is subject to thermal fluctuations. The model includes a…

计算物理 · 物理学 2015-06-11 Robin Oliver , Daniel J. Read , Oliver G. Harlen , Sarah A. Harris

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

A continuum mixture theory is formulated for large deformations, thermal effects, phase interactions, and degradation of soft biologic tissues. Such tissues consist of one or more solid and fluid phases and can demonstrate nonlinear…

软凝聚态物质 · 物理学 2024-09-10 John D. Clayton

Living biological tissue is a complex system, constantly growing and changing in response to external and internal stimuli. These processes lead to remarkable and intricate changes in shape. Modeling and understanding both natural and…

计算机视觉与模式识别 · 计算机科学 2025-04-07 Edwin Tay , Nazli Tümer , Amir A. Zadpoor

We propose a simple and practical approach for incorporating the effects of muscle inertia, which has been ignored by previous musculoskeletal simulators in both graphics and biomechanics. We approximate the inertia of the muscle by…

图形学 · 计算机科学 2022-09-23 Ying Wang , Jasper Verheul , Sang-Hoon Yeo , Nima Khademi Kalantari , Shinjiro Sueda

The skeleton formalism aims at extracting and quantifying the filamentary structure of the universe is generalized to 3D density fields; a numerical method for computating a local approximation of the skeleton is presented and validated…

天体物理学 · 物理学 2009-11-13 T. Sousbie , C. Pichon , S. Colombi , D. Novikov , D. Pogosyan

Much of our mechanistic understanding of the functions of biological macromolecules is based on static structural experiments, which can be modelled either as single structures or conformational ensembles. While these provide us with…

生物大分子 · 定量生物学 2025-10-02 Daria Gusew , Carl G. Henning Hansen , Kresten Lindorff-Larsen

Muscle cells with sarcomeric structure exhibit highly nontrivial passive mechanical response. The difficulty of its continuum modeling is due to the presence of long-range interactions transmitted by extended protein skeleton. To build a…

生物物理 · 物理学 2022-11-24 Fabio Staniscia , Lev Truskinovsky