Efficient Thermal Analysis of Anisotropic Composite Plates Using New Finite Elements

Rolfes, Raimund

doi:10.1007/978-94-009-0787-4_104

Cited by 11 publications

(6 citation statements)

References 8 publications

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“…For none of the cases did the PVB layer break. Convergent results were obtained in the analysis of theoretical clusters laminated plates [46,47]. The lowest density of crack lines is at −20 • C, followed by −10 • C. The nature of cracking is different for each temperature, but the differences are no longer as distinct as for cases without heating of the windscreen.…”

Section: Temperature Of Zone B Temperature Of Zonementioning

confidence: 62%

Verification of Fatigue Damage and Prognosis Related to Degradation of Polymer-Ceramic

Kosiński

Żach

2021

Materials

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Statistically, road accidents involving pedestrians occur in the autumn and winter months, when outdoor temperatures reach −30 °C. The research presented in this paper investigates the impact of a pedestrian’s head on laminated windscreen, taking into account the effects of external temperature, heating of the windscreen from the inside, and fatigue of the glass. The automotive laminated windscreen under study is made from two layers of glass and a Polyvinyl Butyral (PVB) resin bonding them together. PVB significantly changes its properties with temperature. The Finite Element Method (FEM) simulations of a pedestrian’s head hitting the windscreen of an Opel Astra II at <−30 °C, +20 °C> were performed. The obtained Head Injury Criterion (HIC) results revealed an almost twofold decrease in safety between +20 °C and −20 °C. The same test was then performed taking into account the heating of the windscreen from the inside and the fatigue of the glass layers. Surprisingly, the highest HIC value of all the cases studied was obtained at −30 °C and heating the windscreen. The nature of safety changes with temperature variation is different for the cases of heating, non-heating, and fatigue of glass layers. Glass fatigue increases pedestrian safety throughout the temperature range analysed.

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Section: Temperature Of Zone B Temperature Of Zonementioning

confidence: 62%

Verification of Fatigue Damage and Prognosis Related to Degradation of Polymer-Ceramic

Kosiński

Żach

2021

Materials

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“…3 is not necessarily a good approximation for the overall through-thickness conductivity, it is the expression that results from direct application of typical thermal lamination theories when a linear through-thickness variation of temperature is assumed. The ratio of thermal conductivity properties in the material of the first and third layer, k 1 3 , and the material of the second layer k 2 3 , is defined as:…”

Section: Demonstration Of Zig-zag Effectsmentioning

confidence: 99%

“…That is, the assumed throughthickness distribution of temperature in thermal theories resembles the assumed throughthickness distribution of displacement in structural laminate theories. Hence, the most common approach assumes a polynomial (usually linear) variation of temperature through the thickness of the laminate and replaces the discrete-layer thermal properties with an equivalent set of homogeneous anisotropic thermal properties using a Thermal Lamination Theory (TLT) (see, for example [1][2][3]).…”

Section: Introductionmentioning

confidence: 99%

“…If (1) the span-to-thickness ratio of the laminate is large, (2) the thickness-direction component of the thermal conductivity of adjacent plies does not vary drastically, and (3) the time gradients of temperature are not too large, then the first-order TLT is usually adequate for predicting the overall distribution of temperature within a laminate. However, when any of the above conditions are not satisfied, considerable errors can be obtained when using such a simple model.…”

Section: Introductionmentioning

confidence: 99%

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An Improved Thermal Lamination Model for Analysis of Heat Transfer in Composite Structures

Pantano¹,

Averill

2002

Journal of Composite Materials

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A new thermal lamination model and its associated finite element model are presented for analysis of heat transfer in laminated composite structures. The form of the present model closely resembles that of recent zig-zag sublaminate structural laminate theories. The through-thickness distribution of temperature is assumed to vary linearly within each ply, and continuity of transverse flux at ply interfaces is enforced analytically. Thus, the number of computational degrees-offreedom (DOFs) is made independent of the number of plies in the sublaminate. In its present form, the model contains only two computational DOFs in each sublaminate–the temperature at the top and bottom surface of the sublaminate. This model lends itself well to development of convenient and efficient finite element models, as demonstrated herein. Both linear and nonlinear numerical results are presented to demonstrate the effectiveness of the present approach.

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“…The usual approach is to assume a polynomial (usually linear) variation of temperature through the thickness of the laminate and to replace the discrete-layer thermal properties with equivalent set of homogeneous anisotropic thermal properties using a first order global thermal lamination theory (TLT). [1][2][3] However, these theories are only applicable when the span-to-thickness ratio of the laminate is large, the thermal conductivity in thickness direction of adjacent plies does not vary drastically. But in most of the practical applications of laminated composite and sandwich structures, the above conditions are not satisfied and considerable errors may occur in the calculation of the thermal responses of these structures by using this simple TLT theory.…”

Section: Introductionmentioning

confidence: 99%

A new heat flux continuity model for thermal analysis of laminated plates

Khandelwal

Chakrabarti

Mishra

et al. 2012

Journal of Composite Materials

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A new analytical model has been proposed in this paper for the accurate analysis of through-the-thickness temperature variation in composites and sandwich laminates based on piecewise linear zig-zag thermal lamination theory. This theory assumes a piecewise linear through-the-thickness temperature distribution in terms of temperature at the reference plane and temperature slopes at the layer interfaces. The continuity of temperature at different layers is ensured by choosing a suitable temperature profile. The unknown slopes at different interfaces are subsequently expressed in terms of the reference plane slopes through satisfaction of heat flux continuity conditions at the layer interfaces. The thermal conduction properties of different layers in the thickness direction are utilized for this purpose. This helps to maintain lesser number of computational unknowns and the resulting formulation for the thermal analysis can be very conveniently combined with the 2D refined layer-wise theories used for the mechanical analysis of laminated plates. Numerical examples are solved to show the accuracy of the proposed model by comparing the present results with 3D solutions.

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Efficient Thermal Analysis of Anisotropic Composite Plates Using New Finite Elements

Cited by 11 publications

References 8 publications

Verification of Fatigue Damage and Prognosis Related to Degradation of Polymer-Ceramic

Verification of Fatigue Damage and Prognosis Related to Degradation of Polymer-Ceramic

An Improved Thermal Lamination Model for Analysis of Heat Transfer in Composite Structures

A new heat flux continuity model for thermal analysis of laminated plates

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