Download this article
 Download this article For screen
For printing
Recent Issues

Volume 19
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
 
Author index
To appear
 
Other MSP journals
Peridynamic equation with boundary traction

Zaixing Huang

Vol. 18 (2023), No. 5, 675–683
Abstract

How to characterize the traction boundary condition is still an open question in peridynamics. This problem is investigated in this paper. We propose a traction-associated peridynamic motion equation, in which the traction boundary condition is introduced by a tensor weight function. The conservation laws of linear and angular momentum are derived from the traction-associated peridynamic motion equation. Meanwhile, the conservation of energy is also acquired, and it has the same form as that in the original peridynamics advanced by Silling. Therefore, the constitutive models of the original peridynamics can be directly applied to the traction-associated peridynamic motion equation. Using the inverse method, we solve for the uniaxial tension of a rod. By matching the transfer function of the boundary traction with the constitutive equations, we acquire the same solution as that in the classical elasticity from the traction-associated peridynamic motion equation. These results show that the traction-associated peridynamic motion equation not only retains all advantages of the original peridynamics, but also can be conveniently used to deal with the traction boundary value problem.

Keywords
peridynamics, boundary traction, stress boundary condition, bond-based constitutive model
Milestones
Received: 29 December 2022
Accepted: 15 June 2023
Published: 25 October 2023
Authors
Zaixing Huang
State Key Laboratory of Mechanics and Control for Aerospace Structures
Nanjing University of Aeronautics and Astronatics
Nanjing
China