A New Three-Dimensional Sector Element for Circular Curved Structures Analysis
Subject Areas : Mechanical Engineering
H. E Khiouani
1
(NMISSI Laboratory, Biskra University, BP 145 Biskra 07000, Algeria)
L Belounar
2
(NMISSI Laboratory, Biskra University, BP 145 Biskra 07000, Algeria)
M Nabil Houhou
3
(NMISSI Laboratory, Biskra University, BP 145 Biskra 07000, Algeria)
Keywords:
Abstract :
[1] Kim Y.H., Jones R.F., Lee S.W., 1990, Study of 20-node solid element, Communication in Applied Numerical Methods in Engineering 6: 197-205.
[2] Charhabi A., 1990, Calcul des plaques minces et épaisses a' l’aide des éléments finis tridimensionnels, Annales de l’ITBTP 486: 73-91.
[3] Trinh V.D., Abed-Meraim F., Combescure A., 2011, Assumed strain solid–shell formulation ‘‘SHB6’’ for the six- node prismatic, Journal of Mechanical Science and Technology 25(9): 2345-2364.
[4] Ayad R., Zouari W., Meftah K., Ben Zineb T., Benjeddou A., 2013, Enrichment of linear hexahedral finite elements using rotations of a virtual spacefiber, International Journal for Numerical Methods in Engineering 95(1): 46-70.
[5] Belounar L., Guerraiche K., 2014, A new strain based brick element for plate bending, Alexandria Engineering Journal 53(1): 95-105.
[6] Belarbi M.T., Charif A., 1999, Développement d'un nouvel élément hexaédrique simple basé sur le modèle en déformation pour l'étude des plaques minces et épaisses, Revue Européenne des Eléments Finis 8(2): 135-157.
[7] Guerraiche K., Belounar L., Bouzidi L., 2018, A new eight nodes brick finite element based on the strain approach, Journal of Solid Mechanics 10(1): 186-199.
[8] Messai A., Belounar L., Merzouki T., 2019, Static and free vibration of plates with a strain based brick element, European Journal of Computational Mechanics 99(1): 1-21.
[9] Dastjerdi Sh., Jabbarzadeh M., 2016, Nonlocal bending analysis of bilayer annular/circular nano plates based on first order shear deformation theory, Journal of Solid Mechanics 8(3): 645-661.
[10] Dastjerdi Sh., Jabbarzadeh M., Tahani M., 2015, Nonlinear bending analysis of sector graphene sheet embedded in elastic matrix based on nonlocal continuum mechanics, International Journal of Engineering Transactions B: Applications 28(5): 802-811.
[11] Dastjerdi Sh., Akgöz B., 2018, New static and dynamic analyses of macro and nano FGM plates using exact three-dimensional elasticity in thermal environment, Composite Structures 192: 626-641.
[12] Belarbi M. T., Charif A., 1998, Nouvel élément secteur basé sur le modèle de déformation avec rotation dans le plan, Revue Européenne de Eléments Finis 7(4): 439-458.
[13] Rebiai C., Belounar L., 2013, A new strain based rectangular finite element with drilling rotation for linear and nonlinear analysis, Archive of Civil and Mechanical Engineering 13(1): 72-81.
[14] Belounar L., Guenfoud M., 2005, A new rectangular finite element based on the strain approach for plate bending, Thin-Walled Structures 43(1): 47-63.
[15] Himeur M., Benmarce A., Guenfoud M., 2014, A new finite element based on the strain approach with transverse shear effect, Structural Engineering and Mechanic 49(6): 793-810.
[16] Rebiai C., Belounar L., 2014, An effective quadrilateral membrane finite element for plate bending analysis, Measurement 50: 263-269.
[17] Belounar A., Benmebarek S., Belounar L., 2018, Strain based triangular finite element for plate bending analysis, Mechanics of Advanced Materials and Structures 2018: 1-13.
[18] Sabir A.B., Salhi H.Y.,1986, A strain based finite element for general plane elasticity in polar coordinates, Res Mechanica 19(1): 1-16.
[19] Bouzriba A., Bouzerira C., 2015, Sector element for analysis of thick cylinders exposed to internal pressure and change of temperature, Gradevinar 67(6): 547-555.
[20] Raju I.S., Rao A.K., 1969, Stiffness matrices for sector elements, AIAA Journal 7(1): 156-157.
[21] Olson M.D., Lindberg G. M., 1970, Annular and circular sector finite element for plate bending, IJMS 12: 17-33.
[22] Timoshenko S., Woinowsky-Krieger S., 1959, Theory of Plates and Shells, London, McGraw-Hill.
[23] Choi N., 2006, A hybrid Trefftz plane elasticity element with drilling degrees of freedom, Computer Methods in Applied Mechanics Engineering 195(1): 4095-4105.
[24] Timoshenko S., Goodier J.N., 1951, Theory of Elasticity, McGraw-Hill New York.