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The present work presents a density-functional microscopic model of soft biological tissue. The model was based on a prototype molecular structure from experimentally resolved collagen peptide residues and water clusters and has the…

Soft Condensed Matter · Physics 2014-04-15 E. T. Sato , A. R. Rocha , L. F. C. S. Carvalho , J. D. Almeida , H. Martinho

We developed a micromagnetic method for modeling magnetic systems with periodic boundary conditions along an arbitrary number of dimensions. The main feature is an adaptation of the Ewald summation technique for evaluation of long-range…

Mesoscale and Nanoscale Physics · Physics 2015-10-30 Aleksander L. Wysocki , Vladimir P. Antropov

In a companion article (Part 1), we presented the development of a thick continuum-based (CB) shell finite element (FE) based on Mindlin-Reissner theory. We verified the accuracy, efficiency and locking insensitivity of the element in…

Numerical Analysis · Mathematics 2018-01-15 Bahareh Momenan , Michel R. Labrosse

Compression of soft bodies is central to biology, materials science, and robotics, yet existing contact theories break down at large deformations. Here, we develop a general framework for soft-body compression by extending the method of…

Performing a shell model calculation for heavy nuclei has been a long-standing problem in nuclear physics. Here we propose one possible solution. The central idea of this proposal is to take the advantages of two existing models, the…

Nuclear Theory · Physics 2009-11-10 Yang Sun , Cheng-Li Wu

Using a well defined soft model glass in the framework of Molecular Dynamics simulations, the inherent structures are probed by means of a recently developed deformation protocol that aims to capture the Dynamical Heterogeneities (DH), as…

Disordered Systems and Neural Networks · Physics 2013-02-15 F. Leonforte

Modelling the large deformation of hyperelastic solids under plane stress conditions for arbitrary compressible and nearly incompressible material models is challenging. This is in contrast to the case of full incompressibility where the…

Numerical Analysis · Mathematics 2024-10-31 Masoud Ahmadi , Andrew McBride , Paul Steinmann , Prashant Saxena

Intraoperative observation of tissue internal structure is often difficult. Hence, real-time soft tissue deformation is essential for the localization of tumor and other internal structures. We propose a method to simulate the internal…

Computational Geometry · Computer Science 2019-07-26 Haoyin Zhou , Eva Gombos , Mehra Golshan , Jayender Jagadeesan

In this paper, we study the problem of shape-programming of incompressible hyperelastic shells through differential growth. The aim of the current work is to determine the growth tensor (or growth functions) that can produce the deformation…

Numerical Analysis · Mathematics 2022-10-13 Zhanfeng Li , Jiong Wang , Mokarram Hossain , Chennakesava Kadapa

In this paper, we propose a reduced-dimensional smoothed particle hydrodynamics (SPH) formulation for quasi-static and dynamic analyses of plate and shell structures undergoing finite deformation and large rotation. By exploiting…

Numerical Analysis · Mathematics 2023-09-07 Dong Wu , Chi Zhang , Xiangyu Hu

Solid state theory, density functional theory and its generalizations for correlated systems together with numerical simulations on supercomputers allow nowadays to model magnetic systems realistically and in detail and can be even used to…

Materials Science · Physics 2023-10-16 Vladislav Borisov

Discrete element (DEM) simulations demonstrate that granular materials are non-simple, meaning that the incremental stiffness of a granular assembly depends on the gradients of the strain increment as well as on the strain increment itself.…

Soft Condensed Matter · Physics 2018-12-20 Matthew R. Kuhn , Ching S. Chang

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

Statistical Mechanics · Physics 2009-10-30 M. L. Falk , J. S. Langer

Magnets are key materials for the electrification of mobility and also for the generation and transformation of electric energy. Research and development in recent decades lead to high performance magnets, which require a finely tuned…

Materials Science · Physics 2023-12-25 Lukas Weissitsch , Franziska Staab , Karsten Durst , Andrea Bachmaier

The modelling of heterogeneous and architected materials poses a significant challenge, demanding advanced homogenisation techniques. However, the complexity of this task can be considerably simplified through the application of micropolar…

Soft Condensed Matter · Physics 2024-02-27 Adrianos E. F. Athanasiadis , Michal K. Budzik , Dilum Fernando , Marcelo A. Dias

Dense suspensions of particles dispersed in liquids are central to industrial and geophysical processes and serve as model systems for out-of-equilibrium soft matter. At high particle concentrations, they exhibit stress-dependent rheology,…

Soft Condensed Matter · Physics 2026-03-16 Orhun Ayar , Bhargav Sriram Siddani , Ishan Srivastava , Abhinendra Singh

We propose geometrically nonlinear (finite) continuum models of flexomagnetism based on the Cosserat micropolar and its descendent couple-stress theory. These models introduce the magneto-mechanical interaction by coupling the…

Materials Science · Physics 2026-05-21 Adam Sky , David Codony , Stephan Rudykh , Andreas Zilian , Stéphane P. A. Bordas , Patrizio Neff

This contribution investigates the extension of the microplane formulation to the description of transversely isotropic materials such as shale rock, foams, unidirectional composites, and ceramics. Two possible approaches are considered: 1)…

Materials Science · Physics 2017-12-07 Congrui Jin , Marco Salviato , Weixin Li , Gianluca Cusatis

The Heavy Shell Model (HSM) (Y. Sun and C.-L. Wu, Phys. Rev. C 68, 024315 (2003)) was proposed to take the advantages of two existing models, the projected shell model (PSM) and the Fermion Dynamical Symmetry Model (FDSM). To construct HSM,…

Nuclear Theory · Physics 2014-08-06 Ji-Wei Cui , Xian-Rong Zhou , Fang-Qi Chen , Yang Sun , Cheng-Li Wu , Zao-Chun Gao

In various applications, such as virtual reality and gaming, simulating the deformation of soft tissues in the human body during interactions with external objects is essential. Traditionally, Finite Element Methods (FEM) have been employed…

Computer Vision and Pattern Recognition · Computer Science 2024-03-14 Anton Agafonov , Lihi Zelnik-Manor