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Recent works have shown that in contrast to classical linear elastic fracture mechanics, endowing crack fronts in a brittle Green-elastic solid with Steigmann-Ogden surface elasticity yields a model that predicts bounded stresses and…

数学物理 · 物理学 2024-06-11 Casey Rodriguez

In computational engineering, ensuring the integrity and safety of structures in fields such as aerospace and civil engineering relies on accurate stress prediction. However, analytical methods are limited to simple test cases, and…

计算工程、金融与科学 · 计算机科学 2025-10-31 Fabian Key , Lukas Freinberger

In soft amorphous materials, shear cessation after large shear deformation leads to structures having residual shear stress. The origin of these states and the distribution of the local shear stresses within the material is not well…

软凝聚态物质 · 物理学 2021-08-31 Vishwas V. Vasisht , Pinaki Chaudhuri , Kirsten Martens

This paper presents a comprehensive computational framework for investigating thermo-elastic fracture in transversely isotropic materials, where classical linear elasticity fails to predict physically realistic behavior near stress…

数值分析 · 数学 2025-10-08 Saugata Ghosh , Dambaru Bhatta , S. M. Mallikarjunaiah

The main purpose of this study is to determine, via a three dimensions Finite Element analysis (FE), the stress and strain fields at the inner surface of a tubular specimen submitted to thermo-mechanical fatigue. To investigate the surface…

A new model has been developed to estimate the flow stress under hot deformation conditions up to the peak of the stress-strain curves. The model is constructed on the basis of the general form of sine functions by introducing an additional…

材料科学 · 物理学 2014-05-02 Soheil Solhjoo

Conditional expectations given past observations in stationary time series are usually estimated directly by kernel estimators, or by plugging in kernel estimators for transition densities. We show that, for linear and nonlinear…

统计理论 · 数学 2016-08-14 Ursula U. Müller , Anton Schick , Wolfgang Wefelmeyer

The distribution of local residual stresses (threshold to instability) that controls the statistical properties of plastic flow in athermal amorphous solids is examined with an atomistic simulation technique. For quiescent configurations,…

无序系统与神经网络 · 物理学 2020-07-02 Céline Ruscher , Jörg Rottler

In this work we propose a stochastic model for estimating the occurrence of crack initiations on the surface of metallic specimens in fatigue problems that can be applied to a general class of geometries. The stochastic model is based on…

统计方法学 · 统计学 2018-12-26 Ivo Babuska , Zaid Sawlan , Marco Scavino , Barna Szabó , Raúl Tempone

The peridynamic stress formula proposed by Lehoucq and Silling [1, 2] is cumbersome to be implemented in numerical computations. Here, we show that the peridynamic stress tensor has the exact mathematical expression as that of the first…

经典物理 · 物理学 2022-01-19 Jun Li , Shaofan Li , Xin Lai , Lisheng Liu

Material strength is a classical concept with renewed importance in fracture mechanics, particularly in crack nucleation in brittle solids. We formulate material strength in finite elasticity and examine its geometric, constitutive, and…

材料科学 · 物理学 2026-05-05 Arash Yavari , Aditya Kumar

Pre-displaced micromechanical resonators made from high-stress material give rise to new rich static and dynamic behavior. Here, an analytical model is presented to describe the mechanics of such pre-displaced resonators. The bending and…

经典物理 · 物理学 2022-11-28 Xiong Yao , David Hoch , Menno Poot

The mechanical properties are essential for structural materials. The analyzed 360 data on four mechanical properties of steels, viz. fatigue strength, tensile strength, fracture strength, and hardness, are selected from the NIMS database,…

应用物理 · 物理学 2021-01-05 Jie Xiong , Tong-Yi Zhang , San-Qiang Shi

This paper presents a computationally efficient method for the optimal design of silica aerogel porous material systems, balancing thermal insulation performance with mechanical stability under stress concentrations. The proposed approach…

计算工程、金融与科学 · 计算机科学 2025-04-03 Pratyush Kumar Singh , Danial Faghihi

Accurate and robust models for the pressure strain correlation are an essential component for the success of Reynolds Stress Models in turbulent flow simulations. However replicating the non-local action of pressure using only local tensors…

流体动力学 · 物理学 2019-03-14 Jyoti Prakash Panda

The topic faced here is the modeling of an axisymmetric multilayer structure. An exact analytical formulation is proposed in the framework of the plane strain problem for a cylinder encircled by annular layers. Isotropic linear…

材料科学 · 物理学 2015-11-23 Gennaro Vitucci , Gennady Mishuris

A new technique of residual-type a posteriori error analysis is developed for the lowest-order Raviart-Thomas mixed finite element discretizations of convection-diffusion-reaction equations in two- or three-dimension. Both centered mixed…

数值分析 · 数学 2015-03-26 Shaohong Du , Xiaoping Xie

Elastomers are viscoelastic materials and their properties significantly depend on the loading rate. The actual stress experienced by these materials is the sum of equilibrium and dissipative (inelastic) terms. At very low loading rates we…

软凝聚态物质 · 物理学 2018-03-14 K. A. Mokhireva , A. L. Svistkov

Machine learning approaches informed by physics have offered new insights into the discovery of constitutive models from data, helping overcome some limitations of traditional constitutive modelling while reducing the cost of otherwise…

材料科学 · 物理学 2026-05-19 Filippo Masi

We numerically investigate the stress distribution in pastes after horizontal rotation by using an elasto-plastic model. Residual stress remains as a memory of rotation. The stress in the circumferential direction increases after the…

软凝聚态物质 · 物理学 2025-02-14 Hiroki Matsuda , Michio Otsuki