Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach

International Journal for Numerical Methods in Engineering - Tập 91 Số 6 - Trang 571-603 - 2012
Chien H. Thai1, H. Nguyen‐Xuan2,1, Nhon Nguyen‐Thanh3, T‐H. Le4, T. Nguyen‐Thoi2,1, Timon Rabczuk3
1Division of Computational Mechanics Ton Duc Thang University Ho Chi Minh Vietnam
2Department of Mechanics, Faculty of Mathematics and Computer Science, Ho Chi Minh City University of Science Vietnam National University–Ho Chi Minh 227 Nguyen Van Cu Street Ho Chi Minh Vietnam
3Institute of Structural Mechanics University Bauhaus Marienstrae 15 99423 Weimar Germany
4Department of Naval Architecture and Marine Engineering Ho Chi Minh City University of Technology Vietnam National University–Ho Chi Minh 268 Ly Thuong Kiet Street Ho Chi Minh Vietnam

Tóm tắt

SUMMARYThis paper presents a novel numerical procedure based on the framework of isogeometric analysis for static, free vibration, and buckling analysis of laminated composite plates using the first‐order shear deformation theory. The isogeometric approach utilizes non‐uniform rational B‐splines to implement for the quadratic, cubic, and quartic elements. Shear locking problem still exists in the stiffness formulation, and hence, it can be significantly alleviated by a stabilization technique. Several numerical examples are presented to show the performance of the method, and the results obtained are compared with other available ones. Copyright © 2012 John Wiley & Sons, Ltd.

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Tài liệu tham khảo

Reddy JN, 2004, Mechanics of Laminated Composite Plates and Shells Theory and Analysis

10.1115/1.3641719

Stavsky Y, 1961, Bending and stretching of laminated aeolotropic plates, Journal of Engineering Mechanics Division, 87, 31, 10.1061/JMCEA3.0000267

Dong SB, 1962, On the theory of laminated anisotropic plates and shells, Journal of Aeronautical Science, 29, 969

10.1016/0020-7683(66)90045-X

Ambartsumyan SA, 1969, Theory of Anisotropic Plates

10.1115/1.3564618

10.1177/002199836900300316

Reissner E, 1945, The effect of transverse shear deformations on the bending of elastic plates, Journal of Applied Mechanics, 12, A69, 10.1115/1.4009435

Reddy JN, 1984, Energy and Variational Methods in Applied Mechanics

10.1016/j.compstruct.2008.09.006

10.1016/j.cma.2004.11.004

10.1016/S0045-7825(03)00238-X

10.1006/jsvi.1996.0574

10.1016/0020-7683(95)00174-3

10.1002/nme.646

10.1016/S0020-7403(03)00037-7

10.1016/j.compositesb.2010.08.001

10.1016/0022-460X(85)90383-9

10.1002/nme.1620211207

10.2514/3.10338

10.1016/0263-8223(88)90048-7

10.1016/0263-8223(88)90048-7

10.1080/10759410306754

10.2514/3.11933

10.1080/15376490490493952

10.1177/002199837000400102

NoorAK Mathers.Shear‐flexible finite element method of laminated composite plate.Technical report NASA 1975.

10.1016/0020-7683(83)90058-6

10.1016/j.jsv.2006.05.022

10.1016/0020-7225(91)90165-Y

10.1016/S0020-7683(02)00647-9

10.1007/BF01176650

10.1016/j.compstruct.2008.07.008

10.1016/j.ijmecsci.2011.01.004

10.1016/0020-7683(84)90056-8

10.2514/2.1622

10.1016/j.ijsolstr.2006.02.007

Reddy JN, 1993, Introduction to the Finite Element Method

Reddy JN, 1997, Mechanics of Laminated Composite Plates

10.1016/j.enganabound.2010.04.001

10.1016/j.enganabound.2011.06.001

10.1016/j.cma.2007.10.008

10.1007/s00466-010-0509-x

10.1016/j.cam.2009.08.117

10.1016/j.finel.2011.01.004

10.1016/j.cma.2008.05.029

10.1007/s12205-011-1092-1

10.1016/j.amc.2011.02.024

10.1002/nme.1151

10.1002/cnm.871

Rabczuk T, 2006, A meshfree thin shell for arbitrary evolving cracks based on an external enrichment, Computer Methods in Applied Mechanics and Engineering, 16, 115

10.1016/j.cma.2006.06.020

10.1002/nme.2013

10.1016/j.cma.2007.08.027

10.1016/j.compstruct.2005.08.010

10.1016/j.cma.2004.10.008

10.1016/j.cma.2008.01.012

10.1016/j.cma.2005.09.027

10.1016/j.cma.2009.05.011

10.1016/j.cma.2009.08.013

10.1016/j.cma.2010.03.029

10.1016/j.cma.2010.12.003

10.1016/j.cma.2008.01.025

10.1002/nme.2211

10.1016/0045-7825(93)90214-I

10.1016/j.cma.2011.10.009

10.1002/nme.1620361803

Ferreira AJM, 2008, Matlab Codes for Finite Element Analysis: Solids and Structures

10.1016/j.compstruct.2006.04.018

10.1016/j.enganabound.2010.09.012

10.1016/j.ijsolstr.2003.10.022

10.1016/0022-460X(88)90356-2

Timoshenko SP, 1985, Theory of Elastic Stability

10.1016/S0022-460X(73)80170-1

10.1016/0020-7683(88)90090-X

10.1016/j.cma.2006.02.009

10.1115/1.3167719

10.1016/0020-7683(93)90143-U

10.1016/0045-7949(94)90232-1

Ferreira AJM, 2003, Analysis of composite plates using higher‐order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method, Composite Structures, 34, 627

10.1016/S0263-8223(02)00239-8

10.1016/j.jsv.2007.11.043

Wang S, 1997, Free vibration analysis of skew fiber‐reinforced composite laminates based on first‐order shear deformation plate theory, Journal of Sound and Vibration, 63, 525

10.1177/0731684403022003018

10.1016/j.compstruc.2011.01.005

10.1016/j.cma.2003.12.039

10.1016/S0020-7403(02)00057-7

10.1016/S0263-8223(98)00135-4

10.1016/j.cma.2009.02.036

10.1016/j.cma.2011.01.018

10.1016/j.cma.2011.08.014

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International Journal for Numerical Methods in Engineering

Tập 91 Số 6

571-603

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