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We present a variational principle governing the quasistatic evolution of a linearized elastoplastic material. In case of linear hardening, the novel characterization allows to recover and partly extend some known results and proves itself…

偏微分方程分析 · 数学 2007-10-15 Ulisse Stefanelli

We propose a protocol to model accurately the electromechanical behavior of dielectric elastomer membranes using experimental data of stress-stretch and voltage-stretch tests. We show how the relationship between electric displacement and…

软凝聚态物质 · 物理学 2018-11-14 Giuseppe Zurlo , Michel Destrade , Tongqing Lu

We consider conformation dynamics of a chain-like three-body bead-spring model, in which three point masses are connected in series by two springs and the conformation is defined by the bending angle between the two springs. Previous…

混沌动力学 · 物理学 2026-05-29 Yuki Sogo , Yoshiyuki Y. Yamaguchi

Critically elastic materials - those that are rigid with a single state of self-stress - can be generated from parent systems with two states of self-stress by the removal of one of many constraints. We show that the elastic moduli of the…

软凝聚态物质 · 物理学 2025-09-23 Hongryol Jeon , Mahdi Sadjadi , Varda F. Hagh

A quasi 2-dimensional recursive lattice formed by planar elements have been designed to investigate the surface thermodynamics of Ising spin glass system with the aim to study the metastability of supercooled liquids and the ideal glass…

统计力学 · 物理学 2015-02-24 Ran Huang , Purushottam D. Gujrati

Stimuli-responsive liquid crystal elastomers (LCEs) with a strong coupling of orientational molecular order and rubber-like elasticity, show a great potential as working elements in soft robotics, sensing, transport and propulsion systems.…

Inspired by natural cellular materials such as trabecular bone, lattice structures have been developed as a new type of lightweight material. In this paper we present a novel method to design lattice structures that conform with both the…

计算工程、金融与科学 · 计算机科学 2019-09-06 Jun Wu , Weiming Wang , Xifeng Gao

In this paper we investigate the elastic properties of the vortex lattice for a superconducting film of finite thickness. We derive an analytic expression for the compression modulus. The shear modulus is evaluated numerically by using both…

超导电性 · 物理学 2007-05-23 Edson Sardella

We propose a new conceptual approach to reach unattained dissipative properties based on the friction of slender concentric sliding columns. We begin by searching for the optimal topology in the simplest telescopic system of two concentric…

综合物理 · 物理学 2023-05-18 G. Puglisi , N. M. Pugno

Compressive mechanical stress exceeding a critical value leads to the formation of periodic surface buckling patterns in film-substrate systems. A comprehensive understanding of this buckling phenomenon is desired in applications where the…

材料科学 · 物理学 2025-02-20 Wenqing Zhu

Constitutive modeling lies at the core of mechanics, allowing us to map strains onto stresses for a material in a given mechanical setting. Historically, researchers relied on phenomenological modeling where simple mathematical…

计算工程、金融与科学 · 计算机科学 2024-08-28 Asghar A. Jadoon , Knut A. Meyer , Jan N. Fuhg

Deformations of conventional solids are described via elasticity, a classical field theory whose form is constrained by translational and rotational symmetries. However, flexible metamaterials often contain an additional approximate…

软凝聚态物质 · 物理学 2022-02-02 Michael Czajkowski , Corentin Coulais , Martin van Hecke , D. Zeb Rocklin

We propose a simple and efficient scheme based on adaptive finite elements over conforming quadtree meshes for collapse plastic analysis of structures. Our main interest in kinematic limit analysis is concerned with both purely…

计算工程、金融与科学 · 计算机科学 2019-03-11 H Nguyen-Xuan , Hien V Do , Khanh N Chau

The theory, the design and the experimental validation of a catastrophe machine based on a flexible element are addressed for the first time. A general theoretical framework is developed by extending that of the classical catastrophe…

混沌动力学 · 物理学 2020-02-20 Alessandro Cazzolli , Diego Misseroni , Francesco Dal Corso

We present Monte Carlo simulations on a lattice system that displays a first order phase transition between a disordered phase (liquid) and an ordered phase (crystal). The model is augmented by an interaction that simulates the effect of…

统计力学 · 物理学 2007-05-23 Alessandro Attanasi , Andrea Cavagna , Jose' Lorenzana

Robotic Hopping is challenging from the perspective of both modeling the dynamics as well as the mechanical design due to the short period of ground contact in which to actuate on the world. Previous work has demonstrated stable hopping on…

机器人学 · 计算机科学 2019-10-01 Eric Ambrose , Aaron D. Ames

We present the general theory of Ising transitions in isotropic elastic media with vanishing thermal expansion. By constructing a minimal model with appropriate spin-lattice couplings, we show that in two dimensions near a continuous…

统计力学 · 物理学 2023-01-03 Sudip Mukherjee , Abhik Basu

The fracture resistance of structures is optimised using the level-set method. Fracture resistance is assumed to be related to the elastic energy released by a crack propagating in a normal direction from parts of the boundary which are in…

材料科学 · 物理学 2007-05-23 V. J. Challis , A. P. Roberts , A. H. Wilkins

We formulate a large-strain model of single-slip crystal elastoplasticity in the framework of energetic solutions. Numerical performance of the model is compared with lab experiments on the compression of a stack of note papers.

偏微分方程分析 · 数学 2022-07-06 Daria Drozdenko , Michal Knapek , Martin Kružík , Kristián Máthis , Karel Švadlenka , Jan Valdman

We present a multi-phase design parameterization to obtain optimized heterogeneous lattice structures. The 3D domain is discretized into a cubical grid wherein each cube has eight distinct unit cell types or phases. When all phases are…

材料科学 · 物理学 2021-03-04 Yash Agrawal , G. K. Ananthasuresh