Fracture analysis of plane piezoelectric/piezomagnetic multiphase composites under transient loading |
| |
| Authors: | R Rojas-Díaz F García-Sánchez A Sáez E Rodríguez-Mayorga Ch Zhang |
| |
| Affiliation: | 1. Departamento de Mecánica de Medios Continuos, Universidad de Sevilla, Camino de los Descubrimientos s/n, E-41092 Sevilla, Spain;2. Departamento de Ingeniería Civil, de Materiales y Fabricación, Universidad de Málaga, C/Dr. Ortiz Ramos s/n, 29071 Málaga, Spain;3. Department of Civil Engineering, University of Siegen, Paul-Bonatz-Str. 9-11, D-57076 Siegen, Germany;1. Department of Civil Engineering, Sharif University of Technology, 11155-9313, Tehran, Iran;2. Institute for Nanoscience and Nanotechnology, Sharif University of Technology, 11155-9161, Tehran, Iran;3. Institute of Problems in Mechanical Engineering, Russian Academy of Sciences, Bolshoj 61, Vasil. Ostrov, St. Petersburg, 199178, Russia;4. Department of Mechanics and Control Processes, St. Petersburg State Polytechnical University, Polytekhnicheskaya 29, 195251, St. Petersburg, Russia;5. Department of LED Technologies, St. Petersburg State National Research University of Information Technologies, Mechanics and Optics, Kronverkskiy pr. 49, St. Petersburg, 197101, Russia;1. Center for Numerical Porous Media (NumPor), King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia;2. Department of Mathematics, The Chinese University of Hong Kong, Hong Kong Special Administrative Region;3. Department of Mathematics, Texas A&M University, College Station, TX, USA;4. Institute for Scientific Computation (ISC), Texas A&M University, College Station, TX, USA |
| |
| Abstract: | The transient response of cracked composite materials made of piezoelectric and piezomagnetic phases, when subjected to in-plane magneto-electro-mechanical dynamic loads, is addressed in this paper by means of a mixed boundary element method (BEM) approach. Both the displacement and traction boundary integral equations (BIEs) are used to develop a single-domain formulation. The convolution integrals arising in the time-domain BEM are numerically computed by Lubich’s quadrature, which determines the integration weights from the Laplace transformed fundamental solution and a linear multistep method. The required Laplace-domain fundamental solution is derived by means of the Radon transform in the form of line integrals over a unit circumference. The singular and hypersingular BIEs are numerically evaluated in a precise and efficient manner by a regularization procedure based on a simple change of variable, as previously proposed by the authors for statics. Discontinuous quarter-point elements are used to properly capture the behavior of the extended crack opening displacements (ECOD) around the crack-tip and directly evaluate the field intensity factors (stress, electric displacement and magnetic induction intensity factors) from the computed nodal data. Numerical results are obtained to validate the formulation and illustrate its capabilities. The effect of the combined application of electric, magnetic and mechanical loads on the dynamic field intensity factors is analyzed in detail for several crack configurations under impact loading. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
