| Energy Functions And Basic Equations For Ferroelectrics | |
Li HJ(李海军) ; Wang ZQ(王自强); Wang TC
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| Source Publication | Acta Mechanica
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| 2009 | |
| Pages | 69-80 |
| ISSN | 0001-5970 |
| Abstract | Energy functions (or characteristic functions) and basic equations for ferroelectrics in use today are given by those for ordinary dielectrics in the physical and mechanical communications. Based on these basic equations and energy functions, the finite element computation of the nonlinear behavior of the ferroelectrics has been carried out by several research groups. However, it is difficult to process the finite element computation further after domain switching, and the computation results are remarkably deviating from the experimental results. For the crack problem, the iterative solution of the finite element calculation could not converge and the solutions for fields near the crack tip oscillate. In order to finish the calculation smoothly, the finite element formulation should be modified to neglect the equivalent nodal load produced by spontaneous polarization gradient. Meanwhile, certain energy functions for ferroelectrics in use today are not compatible with the constitutive equations of ferroelectrics and need to be modified. This paper proposes a set of new formulae of the energy functions for ferroelectrics. With regard to the new formulae of the energy functions, the new basic equations for ferroelectrics are derived and can reasonably explain the question in the current finite element analysis for ferroelectrics. |
| Keyword | Electric-mechanical Behavior Finite-element Model Constitutive Model Piezoelectric Materials Fracture-mechanics Switching Model Single-crystals Domain Switch Ceramics Hysteresis |
| DOI | 10.1007/s00707-008-0089-4 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000266909900006 |
| WOS Keyword | ELECTRIC-MECHANICAL BEHAVIOR ; FINITE-ELEMENT MODEL ; CONSTITUTIVE MODEL ; PIEZOELECTRIC MATERIALS ; FRACTURE-MECHANICS ; SWITCHING MODEL ; SINGLE-CRYSTALS ; DOMAIN SWITCH ; CERAMICS ; HYSTERESIS |
| WOS Research Area | Mechanics |
| WOS Subject | Mechanics |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/26574 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Wang TC |
| Recommended Citation GB/T 7714 | Li HJ,Wang ZQ,Wang TC. Energy Functions And Basic Equations For Ferroelectrics[J]. Acta Mechanica,2009:69-80. |
| APA | 李海军,王自强,&Wang TC.(2009).Energy Functions And Basic Equations For Ferroelectrics.Acta Mechanica,69-80. |
| MLA | 李海军,et al."Energy Functions And Basic Equations For Ferroelectrics".Acta Mechanica (2009):69-80. |
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