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This study proposes a novel Modified Bond-Based PeriDynamic (MBB-PD) model based on the bonds' classification. This classification of bonds is performed on the basis of the equivalent hypothetical local strains and falls into three…

Computational Engineering, Finance, and Science · Computer Science 2023-02-08 Alireza Masoumi , Mohammad Ravandi , Manouchehr Salehi

This work presents an extended ordinary state-based peridynamics (XOSBPD) model for the non-spherical horizons. Based on the OSBPD, we derive the XOSBPD by introducing the Lagrange multipliers to guarantee the non-local dilatation and…

Computational Engineering, Finance, and Science · Computer Science 2022-11-09 Qibang Liu , Muhao Chen , Robert E. Skelton

This paper presents an improved non-ordinary state-based peridynamics (NOSB PD) framework for modelling the elastoplastic behaviour and damage of geomaterials, such as soil, rock, and concrete, under quasi static conditions. Conventional…

Materials Science · Physics 2025-03-21 Yixin Li , Xueyu Geng

The position-based dynamics (PBD) algorithm is a popular and versatile technique for real-time simulation of deformable bodies, but is only applicable to forces that can be expressed as linearly compliant constraints. In this work, we…

Graphics · Computer Science 2025-12-01 Manas Chaudhary , Chandradeep Pokhariya , Rahul Narain

We propose a new peridynamic formulation with shear deformation for linear elastic solid. The key idea lies in subtracting the rigid body rotation part from the total deformation. Based on the strain energy equivalence between classic local…

Soft Condensed Matter · Physics 2016-09-09 Huilong Ren , Xiaoying Zhuang , Timon Rabczuk

In this paper we present a new general framework for anisotropic elastoplasticity at large strains. The new framework presents the following characteristics: (1) It is valid for non-moderate large strains, (2) it is valid for both elastic…

Soft Condensed Matter · Physics 2018-06-22 Marcos Latorre , Francisco J. Montans

A state-based peridynamic formulation for linear elastic shells is presented. The emphasis is on introducing, possibly for the first time, a general surface based peridynamic model to represent the deformation characteristics of structures…

Computational Physics · Physics 2015-08-04 Shubhankar Roy Chowdhury , Pranesh Roy , Debasish Roy , J. N. Reddy

This paper develops a general data-driven approach to stochastic elastoplastic modelling that leverages atomistic simulation data directly rather than by fitting parameters. The approach is developed in the context of metallic glasses,…

Statistical Mechanics · Physics 2024-10-02 Bin Xu , Zhao Wu , Jiayin Lu , Michael D. Shields , Chris H. Rycroft , Franz Bamer , Michael L. Falk

We formulate a phenomenological elasto-plastic theory to describe a solid undergoing a structural transition from a square (p4mm) to an oblique (p2) lattice in two dimensions. Within our theory, the components of the strain may be…

Materials Science · Physics 2010-03-18 Arya Paul , Surajit Sengupta , Madan Rao

In this paper, a strain-gradient plasticity model is derived from a mesoscopic model for straight parallel edge dislocations in an infinite cylindrical crystal. The main difference to existing work is that in this work the well-separateness…

Analysis of PDEs · Mathematics 2019-05-01 Janusz Ginster

This work presents a new modeling approach to macroscopic, polycrystalline elasto-plasticity starting from first principles and a few well-defined structural assumptions, incorporating the mildly rate-dependent (viscous) nature of plastic…

Materials Science · Physics 2015-12-21 Filip Rindler

We study the yielding transition of a two dimensional amorphous system under shear by using a mesoscopic elasto-plastic model. The model combines a full (tensorial) description of the elastic interactions in the system, and the possibility…

Materials Science · Physics 2017-08-23 E. A. Jagla

Within the framework of computational plasticity, recent advances show that the quasi-static response of an elasto-plastic structure under cyclic loadings may exhibit a time multiscale behaviour. In particular, the system response can be…

Computational Engineering, Finance, and Science · Computer Science 2023-08-25 Sebastian Rodriguez , Angelo Pasquale , Khanh Nguyen , Amine Ammar , Francisco Chinesta

Recently, osmium diboride (OsB2) has attracted considerable attention as an incompressible and hard material. We investigate the structural property, elastic constants, and electronic structure of orthorhombic OsB2 by the first-principles…

Materials Science · Physics 2007-05-23 Z. F. Hou

We report evidence of irregular unsteady flow of two-dimensional polymer solutions in the absence of inertia in cross-slot geometry using numerical simulations of Oldroyd-B model. By exploring the transition to time-dependent flow versus…

Soft Condensed Matter · Physics 2021-02-10 Dário Oliveira Canossi , Gilmar Mompean , Stefano Berti

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…

Computational Engineering, Finance, and Science · Computer Science 2017-10-19 Gabriel Hattori , Jon Trevelyan , William M. Coombs

We develop and analyze an optimization-based method for the coupling of a static peri-dynamic (PD) model and a static classical elasticity model. The approach formulates the coupling as a control problem in which the states are the…

Numerical Analysis · Mathematics 2021-10-12 Marta D'Elia , David Littlewood , Jeremy Trageser , Mauro Perego , Pavel Bochev

Understanding the quasi-static fracture formation and evolution is essential for assessing the mechanical properties and structural load-bearing capacity of materials. Peridynamics (PD) provides an effective computational method to depict…

Numerical Analysis · Mathematics 2024-10-17 Shiwei Hu , Tianbai Xiao , Mingshuo Han , Zuoxu Li , Erkan Oterkus , Selda Oterkus , Yonghao Zhang

An elasto-plastic model for concrete, based on a recently-proposed yield surface and simple hardening laws, is formulated, implemented, numerically tested and validated against available test results. The yield surface is smooth and…

Materials Science · Physics 2014-04-28 F. Poltronieri , A. Piccolroaz , D. Bigoni

Motivated by active wing flutter suppression in high-Mach-number flight, this paper presents a rapid boundary stabilization strategy for a two-dimensional PDE-modeled elastic plate with in-domain instabilities, where the exponential…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Xingzhi Huang , Ji Wang
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