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相关论文: A new definition of peridynamic damage for thermo-…

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Thermal fracture is prevalent in many engineering problems and is one of the most devastating defects in metal additive manufacturing. Due to the interactive underlying physics involved, the computational simulation of such a process is…

材料科学 · 物理学 2022-12-28 Hui Ruan , Shahed Rezaei , Yangyiwei Yang , Dietmar Gross , Bai-Xiang Xu

This contribution presents a concept to dynamic fracture with continuum-kinematics-based peridynamics. Continuum-kinematics-based peridynamics is a geometrically exact formulation of peridynamics, which adds surface- or volumetric-based…

计算工程、金融与科学 · 计算机科学 2022-09-21 Kai Friebertshäuser , Christian Wieners , Kerstin Weinberg

Peridynamics (PD) is widely used to simulate structural failure. However, PD models are time-consuming. To improve the computational efficiency, we developed an adaptive coupling model between PD and classical continuum mechanics (PD-CCM)…

计算工程、金融与科学 · 计算机科学 2024-10-24 JiuYi Li , ShanKun Liu , Fei Han , Yong Mei , YunHou Sun , FengJun Zhou

Peridynamics (PD) represents a new approach for modelling fracture mechanics, where a continuum domain is modelled through particles connected via physical bonds. This formulation allows us to model crack initiation, propagation, branching…

计算工程、金融与科学 · 计算机科学 2017-10-19 Gabriel Hattori , Jon Trevelyan , William M. Coombs

We propose a thermodynamically consistent general-purpose model describing diffusion of a solute or a fluid in a solid undergoing possible phase transformations and damage, beside possible visco-inelastic processes. Also heat…

数学物理 · 物理学 2015-10-28 Tomas Roubicek , Giuseppe Tomassetti

Peridynamics (PD), as a nonlocal theory, is well-suited for solving problems with discontinuities, such as cracks. However, the nonlocal effect of peridynamics makes it computationally expensive for dynamic fracture problems in large-scale…

计算工程、金融与科学 · 计算机科学 2024-03-07 Zhong Jiandong , Han Fei , Du Zongliang , Guo Xu

In the U.S., approximately 17 patients die each day awaiting an organ transplant, a crisis driven by the inability to store organs long-term via methods like cryopreservation. A primary failure mechanism is the severe thermo-mechanical…

软凝聚态物质 · 物理学 2025-11-20 Ali Saeedi , Ram Devireddy , Mrityunjay Kothari

Peridynamics formulates the balance of linear momentum as an integro-differential equation, making it naturally suited for fracture modeling without special treatment of discontinuities. The bond-associated correspondence formulation…

计算工程、金融与科学 · 计算机科学 2026-04-13 Kai Partmann , Christian Wieners , Michael Ortiz , Kerstin Weinberg

The phase field approach to modeling fracture uses a diffuse damage field to represent a crack. This addresses the singularities that arise at the crack tip in computations with sharp interface models, mollifying some of the difficulties…

This paper addresses the modeling of fracture in quasi-brittle materials using a phase-field approach to the description of crack topology. Within the computational mechanics community, several studies have treated the issue of modeling…

计算工程、金融与科学 · 计算机科学 2019-03-01 Jacinto Ulloa , Patricio Rodríguez , Cristóbal Samaniego , Esteban Samaniego

This paper deals with the solution of an inverse problem for the heat equation aimed at nondestructive evaluation of fractures. A fundamental step in any typical iterative inversion method, is the numerical solution of the underlying direct…

应用物理 · 物理学 2019-05-27 G. Inglese , R. Olmi , A. Scalbi

In this work, we extend a phase-field approach for pressurized fractures to non-isothermal settings. Specifically, the pressure and the temperature are given quantities and the emphasis is on the correct modeling of the interface laws…

数值分析 · 数学 2019-05-22 Nima Noii , Thomas Wick

Fracture involves interaction across large and small length scales. With the application of enough stress or strain to a brittle material, atomistic scale bonds will break, leading to fracture of the macroscopic specimen. From the…

软凝聚态物质 · 物理学 2022-02-04 Debdeep Bhattacharya , Patrick Diehl , Robert P. Lipton

Partition of unity methods (PUM) are of domain decomposition type and provide the opportunity for multiscale and multiphysics numerical modeling. Different physical models can exist within a PUM scheme for handling problems with zones of…

计算工程、金融与科学 · 计算机科学 2023-02-06 Matthias Birner , Patrick Diehl , Robert Lipton , Marc Alexander Schweitzer

We present a novel, generalised formulation to treat coupled structural integrity problems by combining phase field and multi-physics modelling. The approach exploits the versatility of the heat transfer equation and is therefore well…

计算工程、金融与科学 · 计算机科学 2025-06-27 Y. Navidtehrani , C. Betegón , E. Martínez-Pañeda

In this article, we propose a thermodynamically consistent phase-field model for thermo-mechanical fracture and provide an open-source implementation of the proposed model using a recently developed finite element toolbox, Gridap in Julia.…

计算工程、金融与科学 · 计算机科学 2021-10-26 Ved Prakash , Akash Kumar Behera , Mohammad Masiur Rahaman

Variational phase-field models of fracture are widely used to simulate nucleation and propagation of cracks in brittle materials. They are based on the approximation of the solutions of free-discontinuity fracture energy by two smooth…

数值分析 · 数学 2023-02-14 Frederic Marazzato , Blaise Bourdin

Phase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating crack initiation and growth in complex fracture networks. In…

材料科学 · 物理学 2018-03-14 Juan Michael Sargado , Eirik Keilegavlen , Inga Berre , Jan Martin Nordbotten

The peridynamic theory brings advantages in dealing with discontinuities, dynamic loading, and non-locality. The integro-differential formulation of peridynamics poses challenges to numerical solutions of complicated and practical problems.…

数值分析 · 数学 2021-06-01 Xue Liang , Linjuan Wang , Jifeng Xu , Jianxiang Wang

When they are damaged or injured, soft biological tissues are able to self-repair and heal. Mechanics is critical during the healing process, as the damaged extracellular matrix (ECM) tends to be replaced with a new undamaged ECM supporting…

计算工程、金融与科学 · 计算机科学 2021-12-08 Di Zuo , Yiqian He , Stéphane Avril , Haitian Yang , Klaus Hackl
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