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In this work the linear elastic properties of materials containing spherical voids are calculated and compared using finite element simulations. The focus is on homogeneous solid materials with spherical, empty voids of equal size. The…

Although Poisson's ratio, v, is a quantity of great importance in materials design, presently, very few methods are available to measure it at small (micrometre) scales and those typically involve intensive geometric refinement of the…

Materials Science · Physics 2021-03-09 Owen Brazil , George Pharr

This paper presents a combined numerical-theoretical study of the macroscopic behavior and local field distributions in a special class of two-dimensional periodic composites with viscoplastic phases. The emphasis is on strongly nonlinear…

Materials Science · Physics 2009-07-09 Martin I. Idiart , Francois Willot , Yves-Patrick Pellegrini , Pedro Ponte Castaneda

In this article, we derive a mathematical model for a shell (i.e. a thin elastic body) bonded to an elastic foundation by modifying Koiter's linear shell equations. We prove the existence and the uniqueness of solutions, and we explicitly…

Analysis of PDEs · Mathematics 2023-09-06 Kavinda Jayawardana

A micrometer-scale elastic shell immersed in a nematic liquid crystal may be deformed by the host if the cost of deformation is comparable to the cost of elastic deformation of the nematic. Moreover, such inclusions interact and form chains…

Soft Condensed Matter · Physics 2018-03-07 Andrew DeBenedictis , Andrea L. Rodarte , Linda S. Hirst , Timothy J. Atherton

In this paper, we study the preferential stiffness and the crack-tip fields for an elastic porous solid of which material properties are dependent upon the density. Such a description is necessary to describe the failure that can be caused…

Numerical Analysis · Mathematics 2022-12-19 Hyun C. Yoon , S. M. Mallikarjunaiah , Dambaru Bhatta

The quantitative knowledge of interface anisotropy in lattice models is a major issue, both for the parametrization of continuum interface models, and for the analysis of experimental observations. In this paper, we focus on the anisotropy…

Statistical Mechanics · Physics 2022-02-09 Luca Gagliardi , Olivier Pierre-Louis

Cell proliferation, apoptosis, and myosin-dependent contraction can generate elastic stress and strain in living tissues, which may be dissipated by internal rearrangement through cell topological transition and cytoskeletal reorganization.…

Biological Physics · Physics 2021-12-07 Chaozhen Wei , Min Wu

We present a framework for the simulation of rigid and deformable bodies in the presence of contact and friction. Our method is based on a non-smooth Newton iteration that solves the underlying nonlinear complementarity problems (NCPs)…

Mechanical signaling plays a key role in biological processes like embryo development and cancer growth. One prominent way to probe mechanical properties of tissues is to study their response to externally applied forces. Using a…

Soft Condensed Matter · Physics 2017-04-18 D. A. Matoz-Fernandez , Elisabeth Agoritsas , Jean-Louis Barrat , Eric Bertin , Kirsten Martens

Friction modeling has always been a challenging problem due to the complexity of real physical systems. Although a few state-of-the-art structured data-driven methods show their efficiency in nonlinear system modeling, deterministic…

Systems and Control · Electrical Eng. & Systems 2024-05-28 Rui Dai , Giulio Evangelisti , Sandra Hirche

The paper focuses on the stiffness modeling of robotic manipulators with gravity compensators. The main attention is paid to the development of the stiffness model of a spring-based compensator located between sequential links of a serial…

Robotics · Computer Science 2013-11-27 Alexandr Klimchik , Stéphane Caro , Yier Wu , Damien Chablat , Benoît Furet , Anatol Pashkevich

Although it has been established that the multi-chain slip-spring (MCSS) model can reproduce entangled polymer dynamics, the effects of model parameters have not been fully elucidated yet. In this study, we systematically investigated the…

Soft Condensed Matter · Physics 2020-11-09 Yuichi Masubuchi , Yuya Doi , Takashi Uneyama

We propose an empirical likelihood ratio test for nonparametric model selection, where the competing models may be nested, nonnested, overlapping, misspecified, or correctly specified. It compares the squared prediction errors of models…

Methodology · Statistics 2022-01-21 Jiancheng Jiang , Jiang Xuejun , Wang Haofeng

A panoptic view of architectured planar lattices based on star-polygon tilings was developed. Four star-polygon-based lattice sub-families, formed of systematically arranged triangles, squares, or hexagons, were investigated numerically and…

Soft Condensed Matter · Physics 2023-01-05 Celal Soyarslan , Andrew Gleadall , Jiongyi Yan , Hakan Argeso , Emrah Sozumert

This paper presents a motion analysis framework for an athlete wearing sport-specific flexible prosthesis based on the soft-rigid hybrid-link system. Such a motion analysis is a challenging problem because we need to consider the…

Robotics · Computer Science 2026-05-14 Sunghee Kim , Yuta Shimane , Taiki Ishigaki , Ko Yamamoto

Ultrasound-based elasticity imaging is a non-invasive technique for estimating tissue stiffness fields from displacement fields obtained by comparing ultrasound signals before and after compression. While recent deep learning approaches…

Medical Physics · Physics 2026-01-22 Heekyu Kim , Hugon LEe , Minwoo Park , Seunghwa Ryu

Inspired by the complexity of certain real-world datasets, this article introduces a novel flexible linear spline index regression model. The model posits piecewise linear effects of an index on the response, with continuous changes…

Methodology · Statistics 2024-09-04 Lianqiang Qu , Long Lv , Meiling Hao , Liuquan Sun

This paper focuses on size effects in periodic mechanical metamaterials driven by reversible pattern transformations due to local elastic buckling instabilities in their microstructure. Two distinct loading cases are studied: compression…

Soft Condensed Matter · Physics 2018-09-11 M. M. Ameen , O. Rokoš , R. H. J. Peerlings , M. G. D. Geers

A cutting-plane model for a nonsmooth function is the maximum of several first-order expansions centered at different points. Using such a model in a bundle method leads to linear convergence (of serious steps) to a minimum. In smooth…

Optimization and Control · Mathematics 2026-03-26 Bennet Gebken , Michael Ulbrich