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The phase field fracture method has emerged as a promising computational tool for modelling a variety of problems including, since recently, hydrogen embrittlement and stress corrosion cracking. In this work, we demonstrate the potential of…

应用物理 · 物理学 2020-11-17 P. K. Kristensen , C. F. Niordson , E. Martínez-Pañeda

The classic integrated conditional moment test is a promising method for testing regression model misspecification. However, it severely suffers from the curse of dimensionality. To extend it to handle the testing problem for parametric…

统计理论 · 数学 2020-05-26 Falong Tan , Lixing Zhu

It is stated in the main in essence new approach to mechanics of the stressed state of the solid body from statistically isotropic material and the homogeneous liquid dynamics. The approach essence is in the detected property of the…

流体动力学 · 物理学 2008-09-25 S. L. Arsenjev

A robust $hp$-adaptive finite element framework is presented for the investigation of static cracks in materials characterized by complex, pointwise density variations. Within such heterogeneous media, the equilibrium equation governed by…

数值分析 · 数学 2025-12-29 S. M. Mallikarjunaiah

Understanding the microstructural influence on the failure mechanisms in multi-phase materials calls for the identification of the worst-case scenario. This necessitates a statistical approach. By performing simulations directly based on…

材料科学 · 物理学 2016-12-06 T. W. J. de Geus , J. E. P. van Duuren , R. H. J. Peerlings , M. G. D. Geers

In model checking for regressions, nonparametric estimation-based tests usually have tractable limiting null distributions and are sensitive to oscillating alternative models, but suffer from the curse of dimensionality. In contrast,…

统计方法学 · 统计学 2019-03-12 Lingzhu Li , Xuehu Zhu , Lixing Zhu

Residual marked empirical process-based tests are commonly used in regression models. However, they suffer from data sparseness in high-dimensional space when there are many covariates. This paper has three purposes. First, we suggest a…

统计方法学 · 统计学 2015-10-27 Xuehu Zhu , Xu Guo , Lixing Zhu

We introduce a generic class of dynamic nonlinear heterogeneous parameter models that incorporate individual and time fixed effects in both the intercept and slope. These models are subject to the incidental parameter problem, in that the…

计量经济学 · 经济学 2026-01-27 Xuan Leng , Jiaming Mao , Yutao Sun

The optimization of porous infill structures via local volume constraints has become a popular approach in topology optimization. In some design settings, however, the iterative optimization process converges only slowly, or not at all even…

计算工程、金融与科学 · 计算机科学 2022-03-22 Junpeng Wang , Jun Wu , Rüdiger Westermann

We consider an anisotropic inhomogeneous model to simulate measured vertical-seismic-profile traveltimes. In this model, we assume that velocity increases linearly with depth and anisotropy is the result of elliptical velocity dependence.…

地球物理 · 物理学 2020-12-08 Ayiaz Kaderali , Theodore Stanoev

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

软凝聚态物质 · 物理学 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

The impedance/admittance measurements of a piezoelectric transducer bonded to or embedded in a host structure can be used as damage indicator. When a credible model of the healthy structure, such as the finite element model, is available,…

数据分析、统计与概率 · 物理学 2018-10-30 Pei Cao , Qi Shuai , Jiong Tang

We propose a novel approach to optimize the design of heterogeneous materials, with the goal of enhancing their effective fracture toughness under mode-I loading. The method employs a Gaussian processes-based Bayesian optimization framework…

最优化与控制 · 数学 2023-03-29 Sukhminder Singh , Lukas Pflug , Julia Mergheim , Michael Stingl

In the present work, the evolution of damage in periodic composite materials is investigated through a novel finite element-based multiscale computational approach. The methodology is developed by means of the original combination of…

数值分析 · 数学 2019-08-09 Francesca Fantoni , Andrea Bacigalupo , Marco Paggi , Josè Reinoso

The recent development of bootstrap methods based on semidefinite relaxations of positivity constraints has enabled rigorous two-sided bounds on local observables directly in the thermodynamic limit. However, these bounds inevitably become…

强关联电子 · 物理学 2025-11-27 Michael G. Scheer , Nisarg Chadha , Da-Chuan Lu , Eslam Khalaf

Periodic structures can be engineered to exhibit unique properties observed at symmetry points, such as zero group velocity, Dirac cones and saddle points; identifying these, and the nature of the associated modes, from a direct reading of…

The propagation of an adhesive crack through an anisotropic heterogeneous interface is considered. Tuning the local toughness distribution function and spatial correlation is numerically shown to induce a transition between weak to strong…

无序系统与神经网络 · 物理学 2014-02-18 Sylvain Patinet , Damien Vandembroucq , Stéphane Roux

We propose a computational framework, Hetero-EUCLID, for segmentation and parameter identification to characterize the full hyperelastic behavior of all constituents of a heterogeneous material. In this work, we leverage the Bayesian-EUCLID…

计算工程、金融与科学 · 计算机科学 2026-01-19 Kanhaiya Lal Chaurasiya , Saurav Dutta , Siddhant Kumar , Akshay Joshi

In this paper, we introduce a methodology applicable to a wide range of localized two-dimensional sources of stress. This methodology is based on a geometric formulation of elasticity. Localized sources of stress are viewed as singular…

软凝聚态物质 · 物理学 2016-01-20 Michael Moshe , Eran Sharon , Raz Kupferman

The goal of the current work is to explore direction-dependent damage initiation and propagation within an arbitrary anisotropic solid. In particular, we aim at developing anisotropic cohesive phase-field (PF) damage models by extending the…

计算工程、金融与科学 · 计算机科学 2022-05-23 Shahed Rezaei , Ali Harandi , Tim Brepols , Stefanie Reese