“…However, the tubular string buckling in well engineering is more complex since other factors are involved such as wellbore constraint, tubular gravity, boundary conditions, friction force, torque, and so on. Until now, a lot of research on tubular string buckling has been done and newly results are continually published to promote the understanding of tubular string buckling (Hajianmaleki, 2014). In brief, the previous studies have developed from the following aspects (Gao and Huang, 2015): (1) Critical buckling loads and buckling configurations under different buckling modes in vertical (Lubinski, 1950;Mitchell, 1988;, horizontal, straightly inclined (Paslay and Bogy, 1964;Wu, 1992;Tan, 1993;Mitchell, 1997; and curved wellbores Mitchell, 1999); (2) The effects of torque, boundary condition (Mitchell, 1982;Sorenson and Cheatham, 1986;, friction force, connectors (Mitchell, 2003;Mitchell and Stefan, 2006;Huang and Gao, 2015), etc; (3) Research methods including beam-column model (Lubinski, 1977), buckling differential equation (Mitchell, © 2016.…”