Boundary element analysis of singular hygrothermal stresses in a bonded viscoelastic thin film

A general solution for a thermoviscoelastic trimaterial combined with a point heat source and a point heat sink is presented in this work. Based on the method of analytic continuation associated with the alternation technique, the solutions to the heat-conduction and thermoelastic problems for three dissimilar, sandwiched media are derived. A rapidly convergent series solution for both the temperature and stress field, expressed in terms of an explicit general term of the corresponding homogeneous potential, is obtained in an elegant form. The hereditary integral in conjunction with the Kelvin-Maxwell model is applied to simulate the thermoviscoelastic properties, while a thermorheologically simple material is considered. Based on the correspondence principle, the Laplace transformed thermoviscoelastic solution is directly determined from the corresponding thermoelastic one. The real-time solution can then be solved numerically by taking the inverse Laplace transform. A typical example concerning the interfacial stresses generated from a combined arrangement of a heat source and sink are discussed in detail. The corresponding thin-film problem is also discussed.

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“…Because of the complexity of these problems, most results reported in the literature are found in numerical approximation [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Thermal stresses in a viscoelastic trimaterial with a combination of a point heat source and a point heat sink

et al. 2007

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“…The second aspect is to investigate influence of moisture on the mechanical behavior. Following this line, Lee [1] investigated the stress singularity between film and the rigid substrate induced by moisture and temperature. Based on linear elasticity theory, Chang [2] analyzed the mechanical behavior of pipe subjected to moisture and temperature change.…”

Section: Introductionmentioning

confidence: 99%

Effect of Moisture on Mechanical Behaviour of Polymer by Experiments

Kang

Zheng

Qin

et al. 2003

KEM

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The effect of moisture content on mechanical behavior of polymer materials is experimentally investigated in this paper. In particular, nylon-6 is selected as testing samples, which were studied by an effective experimental technique called digital marker correction. An equivalent relationship between time intervals and the moisture content for polymer nylon-6 has been obtained based on the experimental observation and results. The generalized curves for the time versus moisture contents of nylon-6 are obtained and then the approximate equation of shift factor is presented in this paper.

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Thermal Stresses of Thin Films on Flexible Substrates

Chang

2014

Encyclopedia of Thermal Stresses

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Boundary element analysis of singular hygrothermal stresses in a bonded viscoelastic thin film

Cited by 12 publications

References 6 publications

Thermal stresses in a viscoelastic trimaterial with a combination of a point heat source and a point heat sink

Thermal stresses in a viscoelastic trimaterial with a combination of a point heat source and a point heat sink

Effect of Moisture on Mechanical Behaviour of Polymer by Experiments

Thermal Stresses of Thin Films on Flexible Substrates

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