On the thermal buckling response of FG Beams using a logarithmic HSDT and Ritz method

Kadda Bouhadjeb , Abdelhakim Kaci , Fouad Bourada , Abdelmoumen Anis Bousahla , Abdelouahed Tounsi , Mohammed A. Al-Osta , S.R. Mahmoud , Farouk Yahia Addou

Abstract

This paper presents a logarithmic shear deformation theory to study the thermal buckling response of power-law FG one-dimensional structures in thermal conditions with different boundary conditions. It is assumed that the functionally graded material and thermal properties are supposed to vary smoothly according to a contentious function across the vertical direction of the beams. A P-FG type function is employed to describe the volume fraction of material and thermal properties of the graded (1D) beam. The Ritz model is employed to solve the thermal buckling problems in immovable boundary conditions. The outcomes of the stability analysis of FG beams with temperature-dependent and independent properties are presented. The effects of the thermal loading are considered with three forms of rising: nonlinear, linear and uniform. Numerical results are obtained employing the present logarithmic theory and are verified by comparisons with the other models to check the accuracy of the developed theory. A parametric study was conducted to investigate the effects of various parameters on the critical thermal stability of P-FG beams. These parameters included support type, temperature fields, material distributions, side-to-thickness ratios, and temperature dependency.

Key Words

logarithmic shear deformation theory; P-FG beams; Ritz model; thermal stability

Address

Kadda Bouhadjeb and Farouk Yahia Addou — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; Department of Civil Engineering, Faculty of Sciences and Technology, Abdelhamid Ibn Badis University, Mostaganem, Algeria
Abdelhakim Kaci — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; Université Dr Tahar Moulay, Faculté de Technologie, Département de Génie Civil et Hydraulique, BP 138 Cité En-Nasr 20000 Saida, Algérie
Fouad Bourada — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria
Abdelouahed Tounsi — Department of Civil and Environmental Engineering, Lebanese American University, 309 Bassil Building, Byblos, Lebanon; Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Mohammed A. Al-Osta — Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; Interdisciplinary research center for Construction and Building Materials, KFUPM, 31261 Dhahran, Saudi Arabia 8GRC Department, Applied College, King Abdulaziz University, Jeddah, 21589, Saudi Arabia
S.R. Mahmoud — GRC Department, Applied College, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

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