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Analysis of Error Caused by Replacing Spherical Shell with an Elastic plate model in Studying Bending Deformation of the Lithosphere

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Journal of Earth Science 1998年第2期17卷 3-7页

作者： Wu Hongling Institute of Geomechanics, Chinese Academy of Geological Sciences, Beijing 100081 Wang Ren Center for Geodynamics Research, Peking University, Beijing 100871

To study the bending deformation of the lithosphere, the simplification of replacing a spherical shell by a plate model is usually made. Based on the differential equations for the bending of plates and shallow spherical shells, an expression for the error caused by such a simplification is derived in this paper. The effect of model sizes on the error is discussed. It is proved that if we replace the shallow spherical shell by a plate model to solve the bending deformation of lithospheric plate, a large error will be caused. In contrast, if we use a plate on an elastic foundation instead, an approximate solution closer to that of spherical shell can be obtained. In such a way, the error can be reduced effectively and the actual geological condition can be modeled more closely.

关键词： plate model spherical shell model earth curvature bending deformation of lithosphere.

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Bending Analysis of Circular Piezoelectric Semiconductor plates Incorporating Flexoelectricity

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ACTA MECHANICA SOLIDA SINICA 2024年第4期37卷 613-621页

作者： Sun, Liang Xiao, Zhengguang Zhang, Chunli Chen, Weiqiu Zhejiang Univ Dept Engn Mech Hangzhou 310027 Peoples R China Naval Univ Engn Dept Basic Courses Wuhan 430033 Peoples R China Huanjiang Lab Zhuji 311816 Peoples R China

Based on the three-dimensional (3D) basic equations of piezoelectric semiconductors (PSs), we establish a two-dimensional (2D) deformation-polarization-carrier coupling bending model for PS structures, taking flexoelectricity into consideration. The analytical solutions to classical flexure of a clamped circular PS thin plate are derived. With the derived analytical model, we numerically investigate the distributions of electromechanical fields and the concentration of electrons in the circular PS thin plate under an upward concentrated force. The effect of flexoelectricity on the multi-field coupling responses of the circular PS plate is studied. The obtained results provide theoretical guidance for the design of novel PS devices.

关键词： Piezoelectric semiconductor plate model Flexoelectricity Multi-field coupling CARRIER DISTRIBUTION PIEZOTRONICS NANOWIRE

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Geodynamic evolution of the Earth over the Phanerozoic:plate tectonic activity and palaeoclimatic indicators

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Journal of Palaeogeography 2015年第2期4卷 167-188页

作者： Christian Vérard Cyril Hochard Peter O.Baumgartner Gérard M.Stampfli Université de Lausanne (UNIL) Institut des Sciences de la Terre (ISTE)

During the last decades, numerous local reconstructions based on field geol- ogy were developed at the University of Lausanne （UNIL）. Team members of the UNIL partici- pated in the elaboration of a 600 Ma to present global plate tectonic model deeply rooted in geological data, controlled by geometric and kinematic constraints and coherent with forces acting at plate boundaries. In this paper, we compare values derived from the tectonic model （ages of oceanic floor, production and subduction rates, tectonic activity） with a combination of chemical proxies （namely CO2, 87Sr/86Sr, glaciation evidence, and sea-level variations） known to be strongly in- fluenced by tectonics. One of the outstanding results is the observation of an overall decreas- ing trend in the evolution of the global tectonic activity, mean oceanic ages and plate velocities over the whole Phanerozoic. We speculate that the decreasing trend reflects the global cooling of the Earth system. Additionally, the parallel between the tectonic activity and CO2 together with the extension of glaciations confirms the generally accepted idea of a primary control of CO2 on climate and highlights the link between plate tectonics and CO2 in a time scale greater than 107 yr. Last, the wide variations observed in the reconstructed sea-floor production rates are in contradiction with the steady-state model hypothesized by some.

关键词： geodynamic plate tectonics plate model Phanerozoic palaeoclimate CO2,strontium glaciation

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