Peridynamic plates and flat shells: A non-ordinary, state-based model

被引：82

作者：

O'Grady, James ^{[1
]}

Foster, John ^{[1
]}

机构：

[1] Univ Texas Austin, Austin, TX 78712 USA

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2014年 / 51卷 / 25-26期

关键词：

Peridynamics; Non-ordinary model; Non-local model; Non-local plate; SOLID MECHANICS; DEFORMATION; ELASTICITY; FRACTURE;

D O I：

10.1016/j.ijsolstr.2014.09.003

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper builds on the peridynamic state-based beam model to represent the bending of a Kirchhoff-Love plate. This model is non-ordinary and derived from the concept of a rotational spring between bonds. A simple extension of the beam model reproduces plate bending with a Poisson ratio of v which can be combined with a 2D linear peridynamic solid model to simulate mixed in-plane and transverse loading. The addition of an isotropic bending state term extends the model to arbitrary Poisson ratios. Simple test cases demonstrate the model's performance. (C) 2014 Elsevier Ltd. All rights reserved.

引用

收藏

页码：4572 / 4579

页数：8

相关论文

共 19 条

[1] Nonlocal plate model for free vibrations of single-layered graphene sheets [J].

Ansari, R. ;

Sahmani, S. ;

Arash, B. .

PHYSICS LETTERS A, 2010, 375 (01) :53-62

[2] Kinetics of phase transformations in the peridynamic formulation of continuum mechanics [J].

Dayal, Kaushik ;

Bhattacharya, Kaushik .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2006, 54 (09) :1811-1842

[3] NONLOCAL ELASTICITY [J].

ERINGEN, AC ;

EDELEN, DGB .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1972, 10 (03) :233-&

[4]

FISCHER TM, 1992, J PHYS II, V2, P337, DOI 10.1051/jp2:1992137

[5] Viscoplasticity using peridynamics [J].

Foster, J. T. ;

Silling, S. A. ;

Chen, W. W. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2010, 81 (10) :1242-1258

[6] AN ENERGY BASED FAILURE CRITERION FOR USE WITH PERIDYNAMIC STATES [J].

Foster, John T. ;

Silling, Stewart A. ;

Chen, Weinong .

INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING, 2011, 9 (06) :675-687

[7] Peridynamic modeling of concrete structures [J].

Gerstle, Walter ;

Sau, Nicolas ;

Silling, Stewart .

NUCLEAR ENGINEERING AND DESIGN, 2007, 237 (12-13) :1250-1258

[8]

Krner E., 1967, Int. J. Solids Struct, V3, P731, DOI [10.1016/0020-7683(67)90049-2, DOI 10.1016/0020-7683(67)90049-2]

[9] Peridynamic beams: A non-ordinary, state-based model [J].

O'Grady, James ;

Foster, John .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2014, 51 (18) :3177-3183

[10] The double-torsion testing technique for determination of fracture toughness and slow crack growth behavior of materials: A review [J].

Shyam, A. ;

Lara-Curzio, E. .

JOURNAL OF MATERIALS SCIENCE, 2006, 41 (13) :4093-4104