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We develop a fractional return-mapping framework for power-law visco-elasto-plasticity. In our approach, the fractional viscoelasticity is accounted through canonical combinations of Scott-Blair elements to construct a series of well-known…

数值分析 · 数学 2022-10-05 Jorge L. Suzuki , Maryam Naghibolhosseini , Mohsen Zayernouri

Cellular solids and micro-lattices are a class of lightweight architected materials that have been established for their unique mechanical, thermal, and acoustic properties. It has been shown that by tuning material architecture, a…

材料科学 · 物理学 2024-03-12 Shengzhi Luan , Enze Chen , Joel John , Stavros Gaitanaros

We use the normal mode formalism to study the shear rheology of the vertex model for epithelial tissue mechanics in the overdamped linear response regime. We consider systems with external (e.g., cell-substrate) and internal (e.g.,…

软凝聚态物质 · 物理学 2023-02-27 Sijie Tong , Rastko Sknepnek , Andrej Kosmrlj

The existence and uniqueness of solution to a one-dimensional hyperbolic integro-differential problem arising in viscoelasticity is here considered. The kernel, in the linear viscoelasticity equation, represents the relaxation function…

数学物理 · 物理学 2019-06-03 Sandra Carillo , Michel Chipot , Vanda Valente , Giorgio Vergara Caffarelli

The moir\'e superlattice system provides an excellent platform for exploring various novel quantum phenomena. To theoretically tackle the diverse correlated and topological states emerging from moir\'e superlattices, one usually adopts an…

介观与纳米尺度物理 · 物理学 2025-09-16 Bo Xie , Jianqi Huang , Jianpeng Liu

The aim of this work is to efficiently and robustly solve the statistical inverse problem related to the identification of the elastic properties at both macroscopic and mesoscopic scales of heterogeneous anisotropic materials with a…

经典物理 · 物理学 2020-06-29 Tianyu Zhang , Florent Pled , Christophe Desceliers

Collections of simple, self-propelled colloidal particles exhibit complex, emergent dynamical behavior, with promising applications in microrobotics. When confined within a deformable vesicle, self-propelled rods cluster and align,…

软凝聚态物质 · 物理学 2025-10-28 Sophie Y. Lee , Philipp W. A. Schönhöfer , Sharon C. Glotzer

In this paper, we study the stochastic linear complementarity problems on extended second order cones (stochastic ESOCLCP). We first convert the problem to a stochastic mixed complementarity problem on the nonegative orthant (SMixCP).…

最优化与控制 · 数学 2019-11-04 Sándor Zoltán Németh , Lianghai Xiao

We develop a general theory of crystal truncation rod (CTR) scattering from vicinal surfaces with a coherently strained heteroepitaxial film. The formalism incorporates film-induced interference fringes, full elastic lattice distortion,…

材料科学 · 物理学 2026-04-28 Junlin Wu , Erqi Xu , Qihui Lin , Jiaqing Yue , Jiale Wang , Zihao Xu , Guangxu Ju

In this paper, we study, from both variational and numerical points of view, a dynamic contact problem between a viscoelastic-viscoplastic piezoelectric body and a deformable obstacle. The contact is modelled using the classical normal…

偏微分方程分析 · 数学 2017-03-14 M. Campo , J. R. Fernández , Á. Rodríguez-Arós , J. M. Rodríguez

Spatial heterogeneity in the elastic properties of soft random solids is investigated via a two-pronged approach. First, a nonlocal phenomenological model for the elastic free energy is examined. This features a quenched random kernel,…

无序系统与神经网络 · 物理学 2011-12-06 Xiaoming Mao , Paul M. Goldbart , Xiangjun Xing , Annette Zippelius

We establish a Hessian geometric structure in chemical thermodynamics which describes chemical reaction networks (CRNs) with equilibrium states. In our setup, the ideal gas assumption and mass action kinetics are not required. The existence…

统计力学 · 物理学 2022-08-30 Yuki Sughiyama , Dimitri Loutchko , Atsushi Kamimura , Tetsuya J. Kobayashi

We present a general energy approach to study the unsteady adhesive contact of viscoelastic materials. Under the assumption of infinitely short-range adhesive interactions, we exploit the principle of virtual work to generalize Griffith…

软凝聚态物质 · 物理学 2024-08-30 Cosimo Mandriota , Nicola Menga , Giuseppe Carbone

Strong coupling among external voltage, electrochemical potentials, concentrations of electronic and ionic species, and strains is a ubiquitous feature of solid state mixed ionic-electronic conductors (MIECs), the materials of choice in…

There is an ever-growing need for predictive models for the elasto-viscoplastic deformation of solids. Our goal in this paper is to incorporate recently developed out-of-equilibrium statistical concepts into a thermodynamically consistent,…

材料科学 · 物理学 2015-06-18 Ken Kamrin , Eran Bouchbinder

We introduce models for viscoelastic materials, both solids and fluids, based on logarithmic stresses to capture the elastic contribution to the material response. The matrix logarithm allows to link the measures of strain, that naturally…

偏微分方程分析 · 数学 2024-10-10 Gennaro Ciampa , Giulio G. Giusteri , Alessio G. Soggiu

Viscoelasticity has been described since the time of Maxwell as an interpolation of purely viscous and purely elastic response, but its microscopic atomic-level mechanism in solids has remained elusive. We studied three model disordered…

软凝聚态物质 · 物理学 2017-02-03 Rico Milkus , Alessio Zaccone

This paper consists of two parts. In the first part we prove the unique solvability for the abstract variational-hemivariational inequality with history-dependent operator. The proof is based on the existing result for the static…

偏微分方程分析 · 数学 2016-08-17 Justyna Ogorzaly

Finding an accurate stress-strain relation, able to describe the mechanical behavior of metals during {forming} and machining processes, is an important challenge in several fields of mechanics, with significant repercussions in the…

材料科学 · 物理学 2020-03-03 Francesco P. Pinnola , Giorgio Zavarise , Antonio Del Prete , Rodolfo Franchi

For homogeneous and isotropic linearly elastic solids and for incompressible fluids under low-Reynolds-number conditions the fundamental solutions of the associated continuum equations were derived a long time ago for bulk systems. That is,…

软凝聚态物质 · 物理学 2026-01-21 Abdallah Daddi-Moussa-Ider , Lukas Fischer , Marc Pradas , Andreas M. Menzel