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We propose a polynomial force-motion model for planar sliding. The set of generalized friction loads is the 1-sublevel set of a polynomial whose gradient directions correspond to generalized velocities. Additionally, the polynomial is…

机器人学 · 计算机科学 2016-06-17 Jiaji Zhou , Robert Paolini , J. Andrew Bagnell , Matthew T. Mason

We extend a phase-field/gradient damage formulation for cohesive fracture to the dynamic case. The model is characterized by a regularized fracture energy that is linear in the damage field, as well as non-polynomial degradation functions.…

应用物理 · 物理学 2019-03-27 Rudy J. M. Geelen , Yingjie Liu , Tianchen Hu , Michael R. Tupek , John E. Dolbow

The stress triaxiality and the Lode angle parameter are two well established stress invariants for the characterization of damage evolution. This work assesses the limits of this tuple by using it for damage predictions in a continuum…

计算工程、金融与科学 · 计算机科学 2025-02-27 K. Feike , P. Kurzeja , J. Mosler , K. Langenfeld

A model for corrosion-induced cracking of reinforced concrete subjected to non-uniform chloride-induced corrosion is presented. The gradual corrosion initiation of the steel surface is investigated by simulating chloride transport…

计算工程、金融与科学 · 计算机科学 2023-12-12 E. Korec , M. Jirasek , H. S. Wong , E. Martínez-Pañeda

We propose a one-dimensional, nonconvex elastic constitutive model with higher gradients that can predict spontaneous fracture at a critical load via a bifurcation analysis. It overcomes the problem of discontinuous deformations without…

偏微分方程分析 · 数学 2021-03-17 Phoebus Rosakis , Timothy J. Healey , Ugur Alyanak

The endochronic theory, developed in the early 70s, allows the plastic behavior of materials to be represented by introducing the notion of intrinsic time. With different viewpoints, several authors discussed the relationship between this…

经典物理 · 物理学 2009-01-13 Silvano Erlicher , Nelly Point

The theory of first strain gradient elasticity (SGE) is widely used to model size and non-local effects observed in materials and structures. For a material whose microstructure is centrosymmetric, SGE is characterized by a sixth-order…

数学物理 · 物理学 2015-06-12 N. Auffray , H. Le Quang , Q. -C. He

Soft polymers are ubiquitous materials in nature and as engineering materials with properties varying from rate-independent to rate-dependent. Current fracture toughness measures are non-unique for rate-dependent soft materials for varying…

软凝聚态物质 · 物理学 2026-03-17 Aditya Konale , Vikas Srivastava

The dependence of the elastic tensor on the equilibrium stress is investigated theoretically. Using ideas from finite-elasticity, it is first shown that both the equilibrium stress and elastic tensor are given uniquely in terms of the…

地球物理 · 物理学 2020-11-30 Matthew Maitra , David Al-Attar

In this contribution, the use of discrete simulations to formulate an anisotropic damage model is investigated. It is proposed to use a beam-particle model to perform numerical characterization tests. Indeed, this discrete model explicitly…

经典物理 · 物理学 2021-05-19 C Oliver-Leblond , R Desmorat , Boris Kolev

Rotational symmetry plays a central role in physics, providing an elegant framework to describe how the properties of 3D objects -- from atoms to the macroscopic scale -- transform under the action of rigid rotations. Equivariant models of…

化学物理 · 物理学 2025-10-28 Michelangelo Domina , Filippo Bigi , Paolo Pegolo , Michele Ceriotti

This work develops an efficient real-time inverse formulation for inferring the aerodynamic surface pressures on a hypersonic vehicle from sparse measurements of the structural strain. The approach aims to provide real-time estimates of the…

数值分析 · 数学 2025-12-03 Julie Pham , Omar Ghattas , Noel Clemens , Karen Willcox

We present a new mechanistic framework for corrosion-induced cracking in reinforced concrete that resolves the underlying chemo-mechanical processes. The framework combines, for the first time, (i) a model for reactive transport and…

计算工程、金融与科学 · 计算机科学 2023-06-06 E. Korec , M. Jirasek , H. S. Wong , E. Martínez-Pañeda

Accurate prediction of damage and fracture evolution is critical for the safety design and preventive maintenance of engineering structures, however existing computational methods face significant limitations. On one hand, discrete damage…

计算物理 · 物理学 2025-07-01 Roshan Philip Saji , Panos Pantidis , Mostafa E. Mobasher

Modern inelastic material model formulations rely on the use of tensor-valued internal variables. When inelastic phenomena include softening, simulations of the former are prone to localization. Thus, an accurate regularization of the…

计算工程、金融与科学 · 计算机科学 2024-08-13 Tim van der Velden , Tim Brepols , Stefanie Reese , Hagen Holthusen

Structural elements made of laminated hardwood are increasingly used in timber engineering. In this combined numerical and experimental approach, damage onset and propagation in uni-directional and cross-laminated samples out of European…

This paper introduces a deep learning approach for predicting time-dependent full-field damage in concrete. The study uses an auto-regressive U-Net model to predict the evolution of the scalar damage field in a unit cell given…

机器学习 · 计算机科学 2026-03-09 Liya Gaynutdinova , Petr Havlásek , Ondřej Rokoš , Fleur Hendriks , Martin Doškář

Recent developments in imaging techniques and correlation algorithms enable measurement of strain fields on a deforming material at high spatial and temporal resolution. In such cases, the computation of the stress field from the known…

材料科学 · 物理学 2020-12-08 Benjamin Cameron , Cem Tasan

In this contribution, we present a new Materials Knowledge System framework for microstructure-sensitive predictions of effective stress--strain responses in composite materials. The model is developed for composites with a wide range of…

材料科学 · 物理学 2018-12-17 Marat I. Latypov , Laszlo S. Toth , Surya R. Kalidindi

We study a scalar lattice model for inter-grain forces in static, non-cohesive, granular materials, obtaining two primary results. (i) The applied stress as a function of overall strain shows a power law dependence with a nontrivial…

软凝聚态物质 · 物理学 2009-10-31 Matthew G. Sexton , Joshua E. S. Socolar , David G. Schaeffer