Reduction of excessive energy in the four-noded membrane quadrilateral element. Part I: Linear theory-compressible materials |
| |
| Affiliation: | 1. Department of Civil and Environmental Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon 305-701, Republic of Korea;2. Graduate School of Water Resources, Sungkyunkwan University (SKKU), 2066, Seobu-ro, Jangan-gu, Suwon-si, Gyeonggi-do, 16419, Republic of Korea;1. Department of Ecology, Jinan University, Guangzhou 510632, China;2. Engineering Research Center of Tropical and Subtropical Aquatic Ecological Engineering, Ministry of Education, Guangzhou, China;3. Czech University of Life Sciences Prague, Faculty of Environmental Sciences, Department of Applied Ecology, Kamy''cka´ 129, 165 21 Praha, 6, Czech Republic;4. South China Institute of Environmental Science, Ministry of Environmental Protection, Guangzhou 510655, China;1. CAS Key Laboratory of Urban Pollutant Conversion, Institute of Urban Environment, Chinese Academy of Sciences, Xiamen 361021, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361021, China;4. Department of Mechanical and Electro-Mechanical Engineering, National I-Lan University, I-Lan 260, Taiwan;1. School of Physics, National University of Ireland Galway, University Road, Galway H91 CF50, Ireland;2. School of Geography, Earth and Environmental Sciences, University of Birmingham, Birmingham B15 2TT, United Kingdom;3. Department of Analytical Chemistry, Faculty of Pharmacy, Assiut University, 72516 Assiut, Egypt;1. Key Laboratory for Yellow River and Huai River Water Environmental and Pollution Control, Ministry of Education, School of Environment, Henan Normal University, Xinxiang 453007, China;2. College of Resource and Environment, Henan Institute of Science and Technology, Xinxiang 453003, China;1. Institute for Risk Assessment Sciences (IRAS), Division of Environmental Epidemiology, Utrecht University, Yalelaan 2, 3508TD Utrecht, The Netherlands;2. Amsterdam Public Health Research Institute, VU University Medical Center, Van der Boechorstraat 7, 1081BT Amsterdam, The Netherlands;3. Julius Center for Health Sciences and Primary Care, University Medical Center Utrecht (UMCU), Universiteitsweg 100, 3584CG Utrecht, The Netherlands;4. National Institute for Public Health and the Environment (RIVM), Antonie van Leeuwenhoeklaan 9, 3721MA Bilthoven, The Netherlands;5. NIVEL, Netherlands Institute for Health Services Research, Otterstraat 118-124, 3513CR Utrecht, The Netherlands;6. Imperial College, Department of Epidemiology and Public Health, South Kensington Campus, SW7 2AZ London, United Kingdom |
| |
| Abstract: | The objective of the paper is to set forth, in a consistent manner, reasons for the appearance of excessive energy in the four-noded membrane quadrilateral element and to propose a formulation leading to simple and reliable elements that are less sensitive to distortions of the geometrical shape. By presenting the differential geometry, emphasis is placed upon those geometrical attributes which are inherently related to the quadrilateral. A modified version of the functional of Hu-Washizu is employed for the discretization. Appropriate approximations for the displacements/rotations are chosen and the physical meaning of the various parameters is identified. A systematic procedure is followed for the approximation of stress and strain. The convergence of the formulation is investigated by examining the inf–sup condition and applying the patch test. Also, results of numerical examples and comparisons with other elemental formulations are presented. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
