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The influence of material inertia on neck development in a notched round bar is analyzed numerically. Dynamic axisymmetric calculations are carried out for isotropically hardening elastic-viscoplastic solids so that both material strain…

Materials Science · Physics 2016-07-04 Alan Needleman

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,…

Disordered Systems and Neural Networks · Physics 2011-12-06 Xiaoming Mao , Paul M. Goldbart , Xiangjun Xing , Annette Zippelius

A major goal of machine learning is to create techniques that abstract away irrelevant information. The generalisation property of standard Learning Classifier System (LCS) removes such information at the feature level but not at the…

Neural and Evolutionary Computing · Computer Science 2020-04-24 Trung B. Nguyen , Will N. Browne , Mengjie Zhang

This paper proposes a gamma process for modelling the damage that accumulates over time in the lumber used in structural engineering applications when stress is applied. The model separates the stochastic processes representing features…

Applications · Statistics 2017-08-25 Samuel W. K. Wong , James V. Zidek

Atomistic computations of the Peierls stress in fcc metals are relatively scarce. By way of contrast, there are many more atomistic computations for bcc metals, as well as mixed discrete-continuum computations of the Peierls-Nabarro type…

Materials Science · Physics 2009-10-31 David L. Olmsted , Kedar Y. Hardikar , Rob Phillips

We develop a strain gradient plasticity formulation for composite materials with spatially varying volume fractions to characterize size effects in functionally graded materials (FGMs). The model is grounded on the mechanism-based strain…

Materials Science · Physics 2018-07-27 Tittu V. Mathew , Sundararajan Natarajan , Emilio Martínez-Pañeda

We analyze a mesoscopic model of a shear stress material with a three dimensional slab geometry, under an external quasistatic deformation of a simple shear type. Relaxation is introduced in the model as a mechanism by which an unperturbed…

Soft Condensed Matter · Physics 2023-04-27 E. A. Jagla

The Statistical Finite Element Method (statFEM) offers a Bayesian framework for integrating computational models with observational data, thus providing improved predictions for structural health monitoring and digital twinning. This paper…

Computational Engineering, Finance, and Science · Computer Science 2025-03-26 Vahab Narouie , Henning Wessels , Fehmi Cirak , Ulrich Römer

Random effects are a flexible addition to statistical models to capture structural heterogeneity in the data, such as spatial dependencies, individual differences, temporal dependencies, or non-linear effects. Testing for the presence (or…

Methodology · Statistics 2024-10-21 Fabio Vieira , Hongwei Zhao , Joris Mulder

In ergonomics and biomechanics, muscle fatigue models based on maximum endurance time (MET) models are often used to integrate fatigue effect into ergonomic and biomechanical application. However, due to the empirical principle of those MET…

Robotics · Computer Science 2011-04-08 Liang Ma , Damien Chablat , Fouad Bennis , Wei Zhang , Bo Hu , François Guillaume

A rigorous unified perspective of cohesive zone models is presented, including and comparing potential-based and non potential-based formulations, and encompassing known examples studied in literature. The main novelty of the work consists…

Analysis of PDEs · Mathematics 2025-03-05 Francesco Freddi , Filippo Riva

Recent advancements in machine learning-based methods have demonstrated great potential for improved property prediction in material science. However, reliable estimation of the confidence intervals for the predicted values remains a…

Machine Learning · Computer Science 2025-01-28 Jiang Chang , Deekshith Basvoju , Aleksandar Vakanski , Indrajit Charit , Min Xian

The influence on macroscopic work hardening of small, spherical, elastic particles dispersed within a matrix is studied using an isotropic strain gradient plasticity framework. An analytical solution, based on a recently developed yield…

Materials Science · Physics 2021-10-25 Philip Croné , Peter Gudmundson , Jonas Faleskog

Fatigue crack advance induced by the application of cyclic quasistatic loads is investigated both numerically and analytically using a lattice spring model. The system has a quasi-one-dimensional geometry, and consists in two symmetrical…

Materials Science · Physics 2012-06-28 Tomás M. Guozden , Eduardo A. Jagla

We present a novel constitutive model using the framework of strain-limiting theories of elasticity for an evolution of quasi-static anti-plane fracture. The classical linear elastic fracture mechanics (LEFM), with conventional linear…

Computational Engineering, Finance, and Science · Computer Science 2020-07-22 Hyun C. Yoon , Sanghyun Lee , S. M. Mallikarjunaiah

This paper presents a new methodology for structural reliability analysis via stochastic finite element method (SFEM). A novel sample-based SFEM is firstly used to compute structural stochastic responses of all spatial points at the same…

Computational Physics · Physics 2020-08-19 Zhibao Zheng

In this study, we propose a novel surrogate modelling approach to efficiently and accurately approximate the response of complex dynamical systems driven by time-varying Recently, there has been increased interest in assessing the seismic…

Computation · Statistics 2024-05-08 C. Nardin , S. Marelli , O. S. Bursi , B. Sudret , M. Broccardo

A stress equilibration procedure for hyperelastic material models is proposed andanalyzed in this paper. Based on the displacement-pressure approximation computed with a stable finite element pair, it constructs, in a vertex-patch-wise…

Numerical Analysis · Mathematics 2019-05-07 Fleurianne Bertrand , Marcel Moldenhauer , Gerhard Starke

In stochastic optimization, particularly in evolutionary computation and reinforcement learning, the optimization of a function $f: \Omega \to \mathbb{R}$ is often addressed through optimizing a so-called relaxation $\theta \in \Theta…

Optimization and Control · Mathematics 2021-07-27 Nils Müller , Tobias Glasmachers

The study presents a novel approach for stochastic nonlinear model updating in structural dynamics, employing a Bayesian framework integrated with Markov Chain Monte Carlo (MCMC) sampling for parameter estimation by using an approximated…