Limit load analysis and imperfection sensitivity of heated or compressed FGM beams on nonlinear softening elastic foundation

被引:23
作者
Babaei, Hadi [1 ]
Kiani, Yaser [2 ]
Eslami, Mohammad Reza [3 ]
机构
[1] Islamic Azad Univ, Dept Mech Engn, South Tehran Branch, Tehran, Iran
[2] Shahrekord Univ, Fac Engn, Shahrekord, Iran
[3] Amirkabir Univ Technol, Mech Engn Dept, Tehran, Iran
关键词
Imperfection sensitivity; FGM beam; compressive load; post-buckling; nonlinear elastic foundation; two-step perturbation method; THERMAL POSTBUCKLING BEHAVIOR; PHYSICAL NEUTRAL SURFACE; VIBRATION ANALYSIS; STABILITY ANALYSIS; TIMOSHENKO BEAMS; PLATES; COLUMNS; ARCHES; TUBES;
D O I
10.1080/15397734.2020.1717343
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Analysis of nonlinear response of thick FGM beams subjected to either thermal or mechanical load is performed. Beam is in contact with a three-parameter elastic foundation. Nonlinear component of the foundation may be of the hardening or softening type. Equilibrium equations of the clamped beam are obtained within the framework of von Karman assumptions and third-order shear deformation theory and solved using the two-step perturbation technique. It is shown that when the FGM beam is in contact with a sufficiently soft foundation, the post-buckling path of the heated/compressed FGM beam is unstable and therefore, the structure is imperfection sensitive. Communicated by Chandrika Prakash Vyasarayani
引用
收藏
页码:371 / 394
页数:24
相关论文
共 58 条
[1]  
Akgöz B, 2011, STEEL COMPOS STRUCT, V11, P403
[2]  
Amazigo J. C., 1970, International Journal of Solids and Structures, V6, P1341, DOI 10.1016/0020-7683(70)90067-3
[3]   Thermomechanical nonlinear in-plane analysis of fix-ended FGM shallow arches on nonlinear elastic foundation using two-step perturbation technique [J].
Babaei, H. ;
Kiani, Y. ;
Eslami, M. R. .
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN, 2019, 15 (02) :225-244
[4]   Thermally induced large deflection analysis of shear deformable FGM shallow curved tubes using perturbation method [J].
Babaei, H. ;
Kiani, Y. ;
Eslami, M. R. .
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2019, 99 (02)
[5]   Geometrically nonlinear analysis of functionally graded shallow curved tubes in thermal environment [J].
Babaei, H. ;
Kiani, Y. ;
Eslami, M. R. .
THIN-WALLED STRUCTURES, 2018, 132 :48-57
[6]   Large amplitude free vibration analysis of shear deformable FGM shallow arches on nonlinear elastic foundation [J].
Babaei, Hadi ;
Kiani, Yaser ;
Eslami, M. Reza .
THIN-WALLED STRUCTURES, 2019, 144
[7]   Thermal buckling and postbuckling responses of geometrically imperfect FG porous beams based on physical neutral plane [J].
Babaei, Hadi ;
Eslami, M. R. ;
Khorshidvand, A. R. .
JOURNAL OF THERMAL STRESSES, 2020, 43 (01) :109-131
[8]   Buckling and Post-Buckling Analysis of Geometrically Imperfect FGM Pin-Ended Tubes Surrounded by Nonlinear Elastic Medium Under Compressive and Thermal Loads [J].
Babaei, Hadi ;
Kiani, Yaser ;
Eslami, M. Reza .
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2019, 19 (08)
[9]   Nonlinear Snap-Through Instability of FGM Shallow Micro-Arches with Integrated Surface Piezoelectric Layers Based on Modified Couple Stress Theory [J].
Babaei, Hadi ;
Eslami, M. Reza .
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2019, 19 (08)
[10]   Thermally induced large deflection of FGM shallow micro-arches with integrated surface piezoelectric layers based on modified couple stress theory [J].
Babaei, Hadi ;
Eslami, M. Reza .
ACTA MECHANICA, 2019, 230 (07) :2363-2384