Table of Contents
ISRN Civil Engineering
Volume 2011 (2011), Article ID 842572, 11 pages
Research Article

Development of a New Cracked Mindlin Plate Element

1Center of Bridge and Structural Engineering, Harbin Institute of Technology Shenzhen Graduate School, Shenzhen 518055, China
2Department of Civil and Environmental Engineering, University of Connecticut, 261 Glenbrook Road, Unit 2037, Storrs, CT 06269, USA

Received 18 May 2011; Accepted 15 June 2011

Academic Editors: Y. Goto and I. Raftoyiannis

Copyright © 2011 Chengyin Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This work addresses the development of a new four-noded rectangular Mindlin plate bending element (MP4C) with a crack which consists of three degrees of freedom (DOF) at each corner node. The crack in the element is assumed to be not closed and nonpropagating. The crack affects the elastic strain energy and the flexibility matrix of the element, whereas the mass matrix remains unchanged. The complete element stiffness matrix is constructed as the inverse of the combined flexibility matrix of both noncracked and cracked elements. To evaluate the behavior of the proposed cracked Mindlin plate element, numerical examples are provided. They are based on developing user subroutines in ABAQUS. The finite element analysis results using the developed plate element are in excellent agreement with those reported in previous work. The cracked plate element developed in this paper provides a simple and robust approach to model the real service conditions in plate-like structures.