An isogeometric approach for size-dependent geometrically nonlinear transient analysis of functionally graded nanoplates

被引:151
作者
Phung-Van, P. [1 ]
Ferreira, A. J. M. [2 ]
Nguyen-Xuan, H. [3 ,4 ]
Wahab, M. Abdel [5 ,6 ,7 ]
机构
[1] Univ Ghent, Fac Engn & Architecture, Dept Elect Energy Syst & Automat, Ghent, Belgium
[2] Univ Porto, Fac Engn, Oporto, Portugal
[3] Hutech Univ, Ctr Interdisciplinary Res Technol Cirtech, Ho Chi Minh City, Vietnam
[4] Sejong Univ, Dept Architectural Engn, 209 Neungdong Ro, Seoul 143747, South Korea
[5] Ton Duc Thang Univ, Div Computat Mech, Ho Chi Minh City, Vietnam
[6] Ton Duc Thang Univ, Fac Civil Engn, Ho Chi Minh City, Vietnam
[7] Univ Ghent, Fac Engn & Architecture, Soete Lab, Technol Pk Zwijnaarde 903, B-9052 Zwijnaarde, Belgium
关键词
Isogeometric analysis (IGA); Functionally graded nanoplates; Geometrically nonlinear transient; Nonlocal theory; Small scale effect; SHEAR DEFORMATION-THEORY; LAMINATED COMPOSITE PLATES; STRAIN GRADIENT ELASTICITY; FREE-VIBRATION ANALYSES; COUPLE STRESS THEORY; EFFICIENT COMPUTATIONAL APPROACH; FINITE-ELEMENT-ANALYSIS; MESHFREE THIN SHELL; FRETTING FATIGUE; VISCOELASTIC FOUNDATION;
D O I
10.1016/j.compositesb.2017.03.012
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In the present investigation, a suitable and simple computational formulation based on Isogeometric Analysis (IGA) integrated with higher-order shear deformation theory (HSDT) is introduced for size dependent geometrically nonlinear transient analysis of functionally graded material (FGM) nano plates. The material properties of FGM based on the Mori-Tanaka schemes and the rule of mixture are used. The nonlinear transient nonlocal governing equations approximated according to IGA based on HSDT, which satisfies naturally the higher-order derivatives continuity requirement in weak form of the FGM nanoplates, are formed using the von Karman strains and solved by Newmark time integration scheme. The effect of nonlocal approach on the behaviors of the FGM nanoplates with several volume fraction exponents is investigated. Several numerical results are presented to demonstrate the reliability of the proposed method. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:125 / 134
页数:10
相关论文
共 65 条
[1]   Free vibration characteristics of a functionally graded beam by finite element method [J].
Alshorbagy, Amal E. ;
Eltaher, M. A. ;
Mahmoud, F. F. .
APPLIED MATHEMATICAL MODELLING, 2011, 35 (01) :412-425
[2]   Phase-field modeling of fracture in linear thin shells [J].
Amiri, F. ;
Millan, D. ;
Shen, Y. ;
Rabczuk, T. ;
Arroyo, M. .
THEORETICAL AND APPLIED FRACTURE MECHANICS, 2014, 69 :102-109
[3]  
[Anonymous], 2009, ISOGEOMETRIC ANAL
[4]   Vibration and buckling characteristics of functionally graded nanoplates subjected to thermal loading based on surface elasticity theory [J].
Ansari, R. ;
Ashrafi, M. A. ;
Pourashraf, T. ;
Sahmani, S. .
ACTA ASTRONAUTICA, 2015, 109 :42-51
[5]   Phase-field analysis of finite-strain plates and shells including element subdivision [J].
Areias, P. ;
Rabczuk, T. ;
Msekh, M. A. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2016, 312 :322-350
[6]   Finite strain fracture of plates and shells with configurational forces and edge rotations [J].
Areias, P. ;
Rabczuk, T. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2013, 94 (12) :1099-1122
[7]   Geometrically nonlinear micro-plate formulation based on the modified couple stress theory [J].
Asghari, M. .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2012, 51 :292-309
[8]   A nonlinear Timoshenko beam formulation based on the modified couple stress theory [J].
Asghari, M. ;
Kahrobaiyan, M. H. ;
Ahmadian, M. T. .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2010, 48 (12) :1749-1761
[9]   Size-dependent thermal stability analysis of embedded functionally graded annular nanoplates based on the nonlocal elasticity theory [J].
Ashoori, A. R. ;
Salari, E. ;
Vanini, S. A. Sadough .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2016, 119 :396-411
[10]   Finite element analysis of fretting fatigue under out of phase loading conditions [J].
Bhatti, Nadeem Ali ;
Magd Abdel Wahab .
TRIBOLOGY INTERNATIONAL, 2017, 109 :552-562