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Phase field modeling of ferroelastic variant switching in yttria-stabilized t'zirconia with strain gradient elasticity and interface tension

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Science China(Technological Sciences) 2024年第5期67卷 1443-1457页

作者： ZHOU QianQian WEI YueGuang ZHOU YiChun YANG Li College of Engineering BIC-ESATPeking UniversityBeijing100871China School of Advanced Materials and Nanotechnology Xidian UniversityXi’an710126China Frontier Research Center of Thin Films and Coatings for Device Applications Academy of Advanced Interdisciplinary ResearchXidian UniversityXi’an710126China

The 6–8 wt%yttria-stabilized zirconia with a tetragonal structure(t’-YSZ)is extensively employed in thermal barrier *** exceptional fracture toughness of t’-YSZ can be attributed to its distinctive ferroelastic toughening *** and interface tension play a critical role in ferroelastic variant switching at the micro-and *** paper presents an original thermodynamically consistent phase field(PF)theory for analyzing ferroelastic variant switching at the micro-and nano-scale of t’-*** theory incorporates strain gradient elasticity using higher-order elastic energy and interface tension tensor via geometric nonlinearity to represent biaxial tension resulting from interface ***,a mixed-type formulation is employed to implement the higher-order theory through the finite element *** an interface in equilibrium,the effects of strain gradient elasticity result in a more uniform distribution of stresses,whereas the presence of interface tension tensor significantly amplifies the stress magnitude at the *** introduction of an interface tension tensor increases the maximum value of stress at the interface by a factor of 4 to *** nucleation and evolution of variants at a pre-existing crack tip in a mono-phase t’-YSZ have also been *** strain gradient elasticity is capable of capturing the size effect of ferroelastic variant switching associated with microstructures in ***,when the grain size approaches that of the specimen,the critical load required for variant switching at the crack tip increases,resulting in greater dissipation of elastic energy during ferroelastic variant ***,the interface tension accelerates the evolution of *** presented framework exhibits significant potential in modeling ferroelastic variant switching at the micro-and nano-scale.

关键词： thermodynamics strain gradient elasticity interface tension phase field method ferroelastic variant switching

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Static and Dynamic Analysis of a Piezoelectric Semiconductor Cantilever Under Consideration of Flexoelectricity and strain gradient elasticity

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Acta Mechanica Solida Sinica 2021年第5期34卷 673-686页

作者： Kai Fang Peng Li Zhenghua Qian State Key Laboratory of Mechanics and Control of Mechanical Structures College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjing210016China

In this work,the static and dynamic response of a piezoelectric semiconductor cantilever under the transverse end force with consideration of flexoelectricity and strain gradient elasticity is systematically *** one-dimensional governing equations and the corresponding boundary conditions are derived based on Hamilton’s *** that,combining with the linearized equations for the conservation of charge,the effects of characteristic length and flexoelectric coefficient on the working performance of a ZnO nanowire are demonstrated as a numerical case,including the static mechanical and electric fields,natural frequencies,and the frequency–response characteristics at *** results indicate that the flexoelectric effect has a great influence on the electric properties of the nanowire,while the strain gradient effect directly contributes to its mechanical *** some extent,the increase in characteristic length is equivalent to the stiffness *** qualitative results and quantitative data are beneficial for revealing the underlying physical mechanism and provide guidance for the design of piezoelectric semiconductor devices.

关键词： Piezoelectric semiconductor Flexoelectricity strain gradient elasticity

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A NONLINEAR MICROBEAM MODEL BASED ON strain gradient elasticity THEORY

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Acta Mechanica Solida Sinica 2013年第1期26卷 21-34页

作者： Farshid Rajabi Shojaa Ramezani Department of Mechanical Engineering Islamic Azad UniversityBandar Anzali BranchAnzaliIran Department of Mechanical Engineering Faculty of EngineeringUniversity of GuilanRashtIran

A micro scale nonlinear beam model based on strain gradient elasticity is developed. Governing equations of motion and boundary conditions are obtained in a variational framework. As an example, the nonlinear vibration of microbeams is analyzed. In a beam having a thickness to length parameter ratio close to unity, the strain gradient effect on increasing the natural frequency is predominant. By increasing the beam thickness, this effect decreases and geometric nonlinearity plays the main role on increasing the natural frequency. For some specific ratios, both geometric nonlinearity and size effects have a significant role on increasing the natural frequency.

关键词： strain gradient elasticity microbeam geometric nonlinearity

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A Family of Nonconforming Rectangular Elements for strain gradient elasticity

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Advances in Applied Mathematics and Mechanics 2019年第6期11卷 1263-1286页

作者： Yulei Liao Pingbing Ming School of Mathematics Renmin University of ChinaNo.59Zhongguancun StreetBeijing 100872China LSEC Institute of Computational MathematicsAMSS Chinese Academy of SciencesNo.55East Road ZhongguancunBeijing 100190Chinaand School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijing 100049China

We propose a family of nonconforming rectangular elements for the linear strain gradient elastic *** error estimates uniformly with respect to the small material parameter have been *** results confirm the theoretical... 详细信息

关键词： Nonconforming finite elements strain gradient elasticity uniform error estimate

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