Large deflection analysis of plates and cylindrical shells by an efficient four-node flat element with mesh distortions
This study reports an improved finite element computational model using a flat four-node element for nonlinear bending analysis of plates and cylindrical shells with element distortions. The von Kármán’s large deflection theory and the total Lagrangian approach are employed in the formulation to des...
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| Veröffentlicht in: | Acta mechanica 2015-08, Vol.226 (8), p.2693-2713 |
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| container_title | Acta mechanica |
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| creator | Nguyen-Van, H. Nguyen-Hoai, N. Chau-Dinh, T. Tran-Cong, T. |
| description | This study reports an improved finite element computational model using a flat four-node element for nonlinear bending analysis of plates and cylindrical shells with element distortions. The von Kármán’s large deflection theory and the total Lagrangian approach are employed in the formulation to describe small strain geometric nonlinearity with large deformations using the first-order shear deformation theory. The most important feature of the developed element is the evaluation of linear membrane bending and nonlinear geometric stiffness matrices based on integration along the boundary of smoothing elements. This technique can give more accurate numerical integrations even with badly shaped elements or coarse meshes when compared to other flat elements using domain integration techniques. The accuracy and predictive capability of the present model is demonstrated by several numerical investigations and comparative studies with analytical/experimental and other numerical solutions available in the literature. |
| doi_str_mv | 10.1007/s00707-015-1339-x |
| format | Article |
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The von Kármán’s large deflection theory and the total Lagrangian approach are employed in the formulation to describe small strain geometric nonlinearity with large deformations using the first-order shear deformation theory. The most important feature of the developed element is the evaluation of linear membrane bending and nonlinear geometric stiffness matrices based on integration along the boundary of smoothing elements. This technique can give more accurate numerical integrations even with badly shaped elements or coarse meshes when compared to other flat elements using domain integration techniques. 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The von Kármán’s large deflection theory and the total Lagrangian approach are employed in the formulation to describe small strain geometric nonlinearity with large deformations using the first-order shear deformation theory. The most important feature of the developed element is the evaluation of linear membrane bending and nonlinear geometric stiffness matrices based on integration along the boundary of smoothing elements. This technique can give more accurate numerical integrations even with badly shaped elements or coarse meshes when compared to other flat elements using domain integration techniques. The accuracy and predictive capability of the present model is demonstrated by several numerical investigations and comparative studies with analytical/experimental and other numerical solutions available in the literature.</description><subject>Civil engineering</subject><subject>Classical and Continuum Physics</subject><subject>Control</subject><subject>Cylindrical shells</subject><subject>Deflection</subject><subject>Deformation</subject><subject>Distortion</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Engineering Thermodynamics</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>Flats</subject><subject>Heat and Mass Transfer</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mechanical engineering</subject><subject>Nonlinearity</subject><subject>Original Paper</subject><subject>Solid Mechanics</subject><subject>Theoretical and Applied Mechanics</subject><subject>Vibration</subject><issn>0001-5970</issn><issn>1619-6937</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kc2OFCEUhYnRxHb0AdyRuHFTIz9VRbGcTHQ06cSNrgkFl24mFLTc6sz020unXBgTQ3IJh_PBhUPIe85uOWPqE7bCVMf40HEpdff8guz4yHU3aqlekh1jjHeDVuw1eYP42FZC9XxHnva2HoB6CAncGkumNtt0wYi0BHpKdgVskqfukmL2NTqbKB4hJaTzpe1QCCG6CHmloZxrl4sHGhpHIcFylZ_ieqQL4JH6iGup11vwLXkVbEJ492e-IT-_fP5x_7Xbf3_4dn-371w_TGurIJhyYRLey1Fyr_XsYZqdd6NlcmDWM-iV0HJWgdsgQ6_mWShgTnPPRnlDPm7nnmr5dQZczRLRtfZthnJGwxWfdK8mKZr1wz_Wx_ag9hvNNWox8lFx1ly3m-tgE5iYQ1mrdW14WKIrGUJs-l0_CDFp2fcN4BvgakGsEMypxsXWi-HMXLMzW3amZWeu2ZnnxoiNwebNB6h_tfJf6DdVqp5A</recordid><startdate>20150801</startdate><enddate>20150801</enddate><creator>Nguyen-Van, H.</creator><creator>Nguyen-Hoai, N.</creator><creator>Chau-Dinh, T.</creator><creator>Tran-Cong, T.</creator><general>Springer Vienna</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TB</scope><scope>7XB</scope><scope>88I</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>KR7</scope><scope>L6V</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope></search><sort><creationdate>20150801</creationdate><title>Large deflection analysis of plates and cylindrical shells by an efficient four-node flat element with mesh distortions</title><author>Nguyen-Van, H. ; 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The von Kármán’s large deflection theory and the total Lagrangian approach are employed in the formulation to describe small strain geometric nonlinearity with large deformations using the first-order shear deformation theory. The most important feature of the developed element is the evaluation of linear membrane bending and nonlinear geometric stiffness matrices based on integration along the boundary of smoothing elements. This technique can give more accurate numerical integrations even with badly shaped elements or coarse meshes when compared to other flat elements using domain integration techniques. The accuracy and predictive capability of the present model is demonstrated by several numerical investigations and comparative studies with analytical/experimental and other numerical solutions available in the literature.</abstract><cop>Vienna</cop><pub>Springer Vienna</pub><doi>10.1007/s00707-015-1339-x</doi><tpages>21</tpages></addata></record> |
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| subjects | Civil engineering Classical and Continuum Physics Control Cylindrical shells Deflection Deformation Distortion Dynamical Systems Engineering Engineering Thermodynamics Finite element analysis Finite element method Flats Heat and Mass Transfer Mathematical analysis Mathematical models Mechanical engineering Nonlinearity Original Paper Solid Mechanics Theoretical and Applied Mechanics Vibration |
| title | Large deflection analysis of plates and cylindrical shells by an efficient four-node flat element with mesh distortions |
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