2019
DOI: 10.1016/j.compstruct.2019.111259
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Isogeometric size optimization of bi-directional functionally graded beams under static loads

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Cited by 37 publications
(9 citation statements)
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“…Further, numerous investigations were performed to analyze the BDFGM plate structures in the framework of three-dimensional elasticity equations, analytical methods, finite element methods, iso-geometric approach, and several shear deformation theories. 7,[33][34][35][36][37][38][39] Many studies on BDFGM plates have been carried out to examine the flexural, 3,5,32,37,[40][41][42][43][44] vibrational, [45][46][47][48][49][50][51][52] and stability 7,40,53,54 behavior of the BDFGM and MDFGM plates. Besides, Lezgy-Nazargah 55 employed the NURBS-dependent isogeometric finite element (FE) approach to examine the thermo-mechanical behavior of BDFGM beams.…”
Section: Introductionmentioning
confidence: 99%
“…Further, numerous investigations were performed to analyze the BDFGM plate structures in the framework of three-dimensional elasticity equations, analytical methods, finite element methods, iso-geometric approach, and several shear deformation theories. 7,[33][34][35][36][37][38][39] Many studies on BDFGM plates have been carried out to examine the flexural, 3,5,32,37,[40][41][42][43][44] vibrational, [45][46][47][48][49][50][51][52] and stability 7,40,53,54 behavior of the BDFGM and MDFGM plates. Besides, Lezgy-Nazargah 55 employed the NURBS-dependent isogeometric finite element (FE) approach to examine the thermo-mechanical behavior of BDFGM beams.…”
Section: Introductionmentioning
confidence: 99%
“…Karamanlı [14] formulated an investigated quasi-3D shear deformation beam model to study the bending of BDFG sandwich beams. Truong and co-workers [15,16] proposed an evolution method for material optimization in the design of bending and free vibration behaviors of BDFG beam. Fariborz and Batra [17] researched free vibration of curved BDFG circular beams and explored the mode veering phenomenon.…”
Section: Introductionmentioning
confidence: 99%
“…Thus, material gradation is defined by a two-dimensional NURBS surface and Isogeometric Analysis (IGA) is used to assess the structural response. A similar approach is also applied by Truong et al [7] to minimize the compliance of a Timoshenko beam under static load.…”
Section: Introductionmentioning
confidence: 99%