Transient Thermal Stress Analysis of a Laminated Composite Beam

Tanigawa, Yoshinobu; Murakami, Hitoshi; Ootao, Yoshihiro

doi:10.1080/01495738908961952

Cited by 46 publications

(25 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…solution given in [9]. Upon retaining six terms of a series (M k = 6) in temperature expansion (4), the solution coincides completely with the results of the exact solution [9], therefore, these results are shown in Fig.…”

supporting

confidence: 60%

Quasi-three-dimensional theory for solution of dynamic thermoelastic problem of laminated composite plates

Demchouk¹

1998

Mech Compos Mater

View full text Add to dashboard Cite

Discrete-structural theories based on the approximation of displacements and stresses over the thickness in each layer are frequently applied to calculating laminated composite plates and shells. A detailed review of the studies on this problem is given in [1]. Among the theories based on purely kinematic hypotheses, it is reasonable to mention the study [2] in which a piecewise-linear distribution over the thickness of the packet of layers (hypothesis of the broken line) was assumed for the tangential displacements, whereas the normal displacements were constant across the thickness. The hypothesis of the broken line for all components of the displacement vector was used in [3][4][5]. In [5], each physical layer was divided into mathematical sublayers. In [6], the Legendre polynomials were applied for describing the tangential and normal displacements over the thickness of a laminated shell. The discrete-structural theories lead to systems of resolving equations of relatively high order which depend on the number of layers or terms in the series used for approximating the displacements in the layer. These theories allow us to investigate the stress-strain state of thick laminated plates and shells with high accuracy. We should note that the theories [2-6] are used in the problems of statics and dynamics, but not in the dynamic thermoelastic problems.The present study describes a discrete-structural (quasi-three-dimensional) theory for solving the linear uncoupled dynamic problem of thermoelasticity, which make it possible to determine, with high accuracy, the fields of temperature, displacements, and stresses in laminated composite plates.Let us consider in the Cartesian coordinates x i (i = 1, 2, 3) a plate of constant thickness h and with an arbitrary number of orthotropic layers. The location of contacting surfaces of the layers is determined by the z-coordinates ak. l and a k (a k > ak. l) counted off from an arbitrarily chosen coordinate surface x 3 = z = 0 (surface of reduction) to the lower and upper bounds of the layer k (k = 1 ..... n). Between the layers, the conditions of "ideal" thermal and mechanical contact are satisfied. The partial derivatives of the coordinates are denoted by commas in the subscripts, and the time derivatives by dots above the functions. The superscripts are given in brackets as distinct from the exponents. In addition, we assume that i, j = 1, 2.Ukrainian Transport University, Kiev, Ukraine.

show abstract

supporting

confidence: 60%

Quasi-three-dimensional theory for solution of dynamic thermoelastic problem of laminated composite plates

Demchouk¹

1998

Mech Compos Mater

View full text Add to dashboard Cite

show abstract

“…Some of these theories have been extended to incorporate thermal loading. CLT (Tanigawa et al, 1989), FSDT and TOT (Reddy, 1997) have been developed for thermal stress analysis of beams and plates. Xioping and Liangxin (1994) developed an efficient zigzag model under thermal loading for composite plates with in-plane displacements expanded as a combination of a global cubic variation and layerwise linear variation of the type in Cho and Parmerter (1993).…”

Section: Introductionmentioning

confidence: 99%

An efficient higher order zigzag theory for composite and sandwich beams subjected to thermal loading

Kapuria

Dumir

Ahmed

2003

International Journal of Solids and Structures

View full text Add to dashboard Cite

“…It is worth noting that the solution of the hygroscopic problem in its analytic form (equation (22)) is formally analogous to that of a laminated cylinder under the same conditions (see Carslaw and Jaeger; 6 see also Ootao et al 14 and Tanigawa et al 15 for pure thermal transient problems). In that case, however, the linear term of the stationary solution is replaced by an equivalent logarithmic term, while functions, sin/cos of the transient solution are replaced by Bessel functions of zeroth order.…”

Section: Analytical Modelmentioning

confidence: 99%

On cyclical hygrothermal fields in laminated plates

Gigliotti

Jacquemin

2012

Journal of Composite Materials

View full text Add to dashboard Cite

This article focuses on the calculation of transient and cyclical hygrothermal fields in laminated composite plates. Water diffusion is simulated by employing Fick's law, while thermal fields are assumed to be uniform: temperature and water concentration are coupled through the coefficient of hygroscopic diffusivity, which follows a classical Arrhenius law. Relative humidity and temperature at the plate boundary vary in a transient/cyclic way, reproducing real complex environmental conditions. Analytical solutions of the cyclical hygrothermal fields in laminated plates can be employed as benchmark for numerical calculations and for evaluating the induced hygrothermal stress, therefore, for structural, design and optimisation purposes.

show abstract

Transient Thermal Stress Analysis of a Laminated Composite Beam

Cited by 46 publications

References 4 publications

Quasi-three-dimensional theory for solution of dynamic thermoelastic problem of laminated composite plates

Quasi-three-dimensional theory for solution of dynamic thermoelastic problem of laminated composite plates

An efficient higher order zigzag theory for composite and sandwich beams subjected to thermal loading

On cyclical hygrothermal fields in laminated plates

Contact Info

Product

Resources

About