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| Energy Principle And Nonlinear Electric-Mechanical Behavior Of Ferroelectric Ceramics | |
Liu F ; Li HJ; Wang ZQ(王自强); Wang, TC (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
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| Source Publication | Acta Mechanica
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| 2008 | |
| Pages | 147-170 |
| ISSN | 0001-5970 |
| Abstract | Many experimental observations have shown that a single domain in a ferroelectric material switches by progressive movement of domain walls, driven by a combination of electric field and stress. The mechanism of the domain switch involves the following steps: initially, the domain has a uniform spontaneous polarization; new domains with the reverse polarization direction nucleate, mainly at the surface, and grow though the crystal thickness; the new domain expands sideways as a new domain continues to form; finally, the domain switch coalesces to complete the polarization reversal. According to this mechanism, the volume fraction of the domain switching is introduced in the constitutive law of the ferroelectric material and used to study the nonlinear constitutive behavior of a ferroelectric body in this paper. The principle of stationary total potential energy is put forward in which the basic unknown quantities are the displacement u(i), electric displacement D-i and volume fraction rho(I) of the domain switching for the variant I. The mechanical field equation and a new domain switching criterion are obtained from the principle of stationary total potential energy. The domain switching criterion proposed in this paper is an expansion and development of the energy criterion established by Hwang et al. [ 1]. Based on the domain switching criterion, a set of linear algebraic equations for determining the volume fraction rho(I) of domain switching is obtained, in which the coefficients of the linear algebraic equations only contain the unknown strain and electric fields. If the volume fraction rho(I) of domain switching for each domain is prescribed, the unknown displacement and electric potential can be obtained based on the conventional finite element procedure. It is assumed that a domain switches if the reduction in potential energy exceeds a critical energy barrier. According to the experimental results, the energy barrier will strengthen when the volume fraction of the domain switching increases. The external mechanical and electric loads are increased step by step. The volume fraction rho(I) of domain switching for each element obtained from the last loading step is used as input to the constitutive equations. Then the strain and electric fields are calculated based on the conventional finite element procedure. The finite element analysis is carried out on the specimens subjected to uniaxial coupling stress and electric field. Numerical results and available experimental data are compared and discussed. The present theoretic prediction agrees reasonably with the experimental results. |
| Keyword | Finite-element Model Phenomenological Constitutive Law Thermodynamical Formulation Piezoelectric Materials Hysteresis Model Domain Switch Micromechanics Piezoceramics Polarization Simulation |
| DOI | 10.1007/s00707-007-0530-0 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000258263400002 |
| WOS Keyword | FINITE-ELEMENT MODEL ; PHENOMENOLOGICAL CONSTITUTIVE LAW ; THERMODYNAMICAL FORMULATION ; PIEZOELECTRIC MATERIALS ; HYSTERESIS MODEL ; DOMAIN SWITCH ; MICROMECHANICS ; PIEZOCERAMICS ; POLARIZATION ; SIMULATION |
| WOS Research Area | Mechanics |
| WOS Subject | Mechanics |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/25944 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | Wang, TC (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China. |
| Recommended Citation GB/T 7714 | Liu F,Li HJ,Wang ZQ,et al. Energy Principle And Nonlinear Electric-Mechanical Behavior Of Ferroelectric Ceramics[J]. Acta Mechanica,2008:147-170. |
| APA | Liu F,Li HJ,王自强,&Wang, TC .(2008).Energy Principle And Nonlinear Electric-Mechanical Behavior Of Ferroelectric Ceramics.Acta Mechanica,147-170. |
| MLA | Liu F,et al."Energy Principle And Nonlinear Electric-Mechanical Behavior Of Ferroelectric Ceramics".Acta Mechanica (2008):147-170. |
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