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Data-Driven Continuum Mechanics -- the continuous counterpart of Data-Driven Computational Mechanics -- is a modern paradigm that enhances classical continuum mechanics by incorporating finite sets of experimental material data directly,…

偏微分方程分析 · 数学 2026-05-21 Cristian G. Gebhardt , Kundan Kumar , Florin A. Radu

Macroscopic models which distinguish the longitudinal and transverse temperatures can provide improved descriptions of the microscopic shock structures as revealed by molecular dynamics simulations. Additionally, we can include three…

统计力学 · 物理学 2010-05-11 Wm. G. Hoover , Carol G. Hoover , Francisco J. Uribe

Bounds are obtained on the volume fraction in a two-dimensional body containing two elastically isotropic materials with known bulk and shear moduli. These bounds use information about the average stress and strain fields, energy,…

偏微分方程分析 · 数学 2015-05-30 Graeme Walter Milton , Loc Hoang Nguyen

In mechanical engineering W\"ohler plots serve to measure the average number of load cycles before materials break, as a function of the maximal stress in each cycle. Although such plots are prevalent in engineering for more than 150 years,…

软凝聚态物质 · 物理学 2022-01-10 Bhanu Prasad Bhowmik , H. G. E. Hentschel , Itamar Procaccia

Thermal cracking in urban underground sidewalls is frequently observed when structures are cast in summer and enter service in winter, as seasonal temperature gradients act under structural restraint. To quantify the local stress field…

计算物理 · 物理学 2025-12-10 Ziyan Zhao , Ting Peng , Peng Wu , Chaojun Hu , Qilin Yi , Chuangrui Huang , Junjie Niu , Xiaoxue Xu , Tao Li , Yuan Li

Material stress analysis is a critical aspect of material design and performance optimization. Under dynamic loading, the global stress evolution in materials exhibits complex spatiotemporal characteristics, especially in two-phase random…

机器学习 · 计算机科学 2025-05-06 Tengfei Xing , Xiaodan Ren , Jie Li

We evaluate the loss of stability of axially compressed slender and thick-walled tubes subject to a residual stress distribution. The nonlinear theory of elasticity, when used to analyze the underlying deformation, shows that the residual…

软凝聚态物质 · 物理学 2025-05-13 Tao Zhang , Luis Dorfmann , Yang Liu

Engineers and scientists have been collecting and analyzing fatigue data since the 1800s to ensure the reliability of life-critical structures. Applications include (but are not limited to) bridges, building structures, aircraft and…

This paper introduces an extended tensor decomposition (XTD) method for model reduction. The proposed method is based on a sparse non-separated enrichment to the conventional tensor decomposition, which is expected to improve the…

数值分析 · 数学 2023-11-07 Ye Lu , Satyajit Mojumder , Jiachen Guo , Yangfan Li , Wing Kam Liu

We study an interface-capturing two-phase fluid model in which the interfacial tension is modelled as a volumetric stress. Since these stresses are obtainable from a Van der Waals-Cahn-Hilliard free energy, the model is, to a certain…

comp-gas · 物理学 2008-02-03 B. T. Nadiga , S. Zaleski

Data available in literature from direct numerical simulations of two-dimensional turbulent channels by Lee & Moser (2015), Bernardini et al. (2014), Yamamoto and Tsuji (2018) and Orlandi et al. (2015) in a large range of Reynolds number…

流体动力学 · 物理学 2019-01-08 Paolo Orlandi

Soft materials including elastomers and gels are pervasive in biological systems and technological applications. Whereas it is known that intrinsic fracture energies of soft materials are relatively low, how the intrinsic fracture energy…

软凝聚态物质 · 物理学 2015-06-16 Teng Zhang , Shaoting Lin , Hyunwoo Yuk , Xuanhe Zhao

Spinning of a common aluminum automotive casting alloy A356 (Al-7Si-0.3 Mg) at elevated temperatures has been investigated experimentally with a novel industrial-scale apparatus. This has permitted the implementation of a fully coupled…

材料科学 · 物理学 2015-07-27 M. J. Roy , D. M. Maijer

Models for solving the Reynolds-averaged Navier-Stokes equations are popular tools for predicting complex turbulent flows due to their computational affordability and ability to provide or estimate quantities of engineering interest.…

流体动力学 · 物理学 2024-09-10 Ty Homan , Omkar B. Shende , Ali Mani

Residual stress is ubiquitous and indispensable in most biological and artificial materials, where it sustains and optimizes many biological and functional mechanisms. The theory of volume growth, starting from a stress-free initial state,…

组织与器官 · 定量生物学 2019-06-04 Yangkun Du , Chaofeng Lü , Michel Destrade , Weiqiu Chen

Traditional computational approaches in simulating crack propagation in perfectly brittle materials rely on the estimate of stress intensity factors along the rupture front. This proves highly challenging in 3D when the crack geometry…

材料科学 · 物理学 2023-06-27 Mathias Lebihain , Manish Vasoya , Véronique Lazarus

This paper models stress softening during cyclic loading and unloading of an elastomer. The paper begins by remodelling the primary loading curve to include a softening function and goes on to derive non-linear transversely isotropic…

软凝聚态物质 · 物理学 2020-05-19 S. R. Rickaby , N. H. Scott

This paper introduces a new two-parameter distribution, referred to as the Shiha distribution, which provides a flexible model for skewed lifetime data with either heavy or light tails. The proposed distribution is applicable to various…

统计方法学 · 统计学 2026-02-04 F. A. Shiha

Elastic constants and mechanical properties play a pivotal role across multiple disciplines and engineering applications. We introduced the optimized high-efficient strain-matrix set (OHESS) that determines the second-order elastic…

材料科学 · 物理学 2023-08-29 Zhong-Li Liu , Ya-Dong Wei , Xiao-Dong Xu , Wei-Qi Li , Gang Lv , Jian-Qun Yang , Xing-Ji Li , Chinedu E. Ekuma

Solids when rapidly and elastically stressed change temperature, the effect proposed by Lord Kelvin is adiabatic thermo-elastic cooling or heating depending on the sign of the stress. A fast sensitive IR camera has measured temperature both…

材料科学 · 物理学 2025-09-03 S. J. Burns , C. E. Pratt , J. Carrock , J-P Gagnon , A. B. Sefkow
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