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Exact Through Thickness Temperature Variation of Laminated Beam

Publication Date : 10/07/2015



Author(s) :

Omkar M. Salunkhe , Sandeep S. Pendhari.


Conference Name :
4th International Conference on Recent Trends in Engineering & Technology(ICRTET-2015) July 2-4,2015 Organized by SNJB's KBJ College of Engineering,Chandwad,Nashik,Maharashtra,India



Abstract :

Exact through thickness temperature variation in the two dimensional (2D) laminates have been obtained using semi mathematical model is developed with the help of Fourier’s law and partial differential equation (PDE) of heat conduction and its consists of defining two point boundary value problem (BVP) governed by a set of coupled first Runga-Kutta-Gill (RK-Gill4) method is used for numerical integration. The accuracy and the effectiveness of the developed model is assessed by comparing obtained numerical results from the present work with the availab Keywords- Semi-analytical, Two point BVP, RK Composite and sandwich laminates are extensively used in the aerospace structures. These materials are also used in field of civil structures, biomedical and electronic devices due to its superficial advantages. Enhanced temperature field is the major fact materials. Due to thermal load, delamination of layers and the longitudinal cracks occurs in the laminates and therefore, it is important to obtain the actual temperature variation through thickness of the laminates. Most of the researches reported in the literature have been assumed linear, constant or exponential temperature variation through thickness of the laminates. Tungikar and Rao [2] obtained layer wise temperature profile for a thick anisotropic laminate which proves variation of temperature not remains linear through the thickness of domain. Carrera [3] studied the errors incorporated in the anisotropic plate due to the assumption of linear temperature variation through the thickness of plate. Actual through thick obtained by Kapuria et al. [4], [5] and [6] for various types of orthotropic composite and sandwich laminates. This all research shows that the assumed temperature variation through the thickness of domain in stress analysis i thick domain. An effort has been put in this work to developed semi law and partial differential equation (PDE) of heat conduction to capture exact variation temperature field through the thickness of laminated beam. The mathematical model consist of defining two-point BVP governed by a set of coupled first within the domain –h/2 ≤ z ≤ +h/2. and Research www.ijmter.com -ISSN No.:2349-9745, Date: 2-4 July, 2015 s Beam M. Salunkhe 1 and Sandeep S. Pendhari 2 Technological Institute, Mumbai 400019, India. omakrsalunkhe.nit@gmail.com sspendhari@vjti.org.in semi-analytical approach developed by Kant first-order ordinary differential equations (ODEs). Fourth order available exact solution.


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