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Exact Solution for Nonlinear Thermal Stability of Geometrically Imperfect Hybrid Laminated Composite Timoshenko Beams Embedded with SMA Fibers
The nonlinear analysis of shape memory alloy (SMA) hybrid composite beams under in-plane thermal load is presented in this paper. The properties of the constituents are assumed to be temperature dependent. The initial imperfection of the beam is also taken into account as an initial deflection function prior to heating. Geometrical nonlinearity is formulated in the von Karman sense. It is assumed that the kinematics of the beam obeys the Timoshenko first-order beam theory and the SMA fibers follow the one-dimensional Brinson constitutive law. These basic assumptions are inserted into the static version of the virtual displacements principle to derive the nonlinear equilibrium equations. The resulting system of equations is uncoupled and solved exactly. Closed-form expressions are presented to trace the equilibrium path of the beam as a function of the uniform heating parameter. It is shown that, in special cases, the induced tensile recovery stress of the SMA fibers may stabilize an imperfect beam that has bent during heating.
Exact Solution for Nonlinear Thermal Stability of Geometrically Imperfect Hybrid Laminated Composite Timoshenko Beams Embedded with SMA Fibers
The nonlinear analysis of shape memory alloy (SMA) hybrid composite beams under in-plane thermal load is presented in this paper. The properties of the constituents are assumed to be temperature dependent. The initial imperfection of the beam is also taken into account as an initial deflection function prior to heating. Geometrical nonlinearity is formulated in the von Karman sense. It is assumed that the kinematics of the beam obeys the Timoshenko first-order beam theory and the SMA fibers follow the one-dimensional Brinson constitutive law. These basic assumptions are inserted into the static version of the virtual displacements principle to derive the nonlinear equilibrium equations. The resulting system of equations is uncoupled and solved exactly. Closed-form expressions are presented to trace the equilibrium path of the beam as a function of the uniform heating parameter. It is shown that, in special cases, the induced tensile recovery stress of the SMA fibers may stabilize an imperfect beam that has bent during heating.
Exact Solution for Nonlinear Thermal Stability of Geometrically Imperfect Hybrid Laminated Composite Timoshenko Beams Embedded with SMA Fibers
Asadi, H. (author) / Kiani, Y. (author) / Shakeri, M. (author) / Eslami, M. R. (author)
2014-09-11
Article (Journal)
Electronic Resource
Unknown
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