IWPDF2023

Accounting for Viscoelastic Non-linearity and Temperature Influence in Delamination Analysis

V. Rizov ∗

Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, Sofia 1046, Bulgaria

∗ v_rizov_fhe@uacg.bg

Keywords: viscoelastic non-linearity, temperature, delamination.

This paper addresses the question for accounting of viscoelastic non-linearity at theoretical anal ysis of delamination in multilayered beam constructions with considering temperature influence. The multilayered materials are widely used in engineering [1]. The main impulse for carrying-out the present study is that previous papers dealing with temperature influence on delamination usu ally apply linear viscoelastic material models for treating the behavior of the beam constructions [2]. The viscoelastic model used in this analysis is set up by a non-linear spring put in parallel to a non-linear dashpot. A linear-elastic spring and a linear dashpot are also included in the model. The latter is under strain varying exponentially with time. The material parameters of viscoelastic model are distributed continuously through the thickness of layers since the material is inhomoge neous. The stress-strain-time relationship of the model is obtained by analyzing the work of the model components under varying strains. This relationship is incorporated in the delamination analysis of the beam construction subjected to external loading and temperature influence. For this purpose, the secant modulus is extracted and applied when analyzing delamination by the integral J . The temperature influence is accounted for by introducing a change in the secant mod ulus that is used in the solution of the integral J . Thus, the solution of the integral J accounts for both external loading and temperature variation. The solution of the integral J is confirmed by the strain energy release rate. The latter is found-out by using the complementary strain energy in the beam obtained with considering the external loading and the temperature change. A parametric investigation is performed. One of the important observations is that the integral J reduces when the temperature rises. This finding is confirmed by the strain energy release rate that is found-out by using the secant modulus (the latter is changed in order to take into account the temperature variation). The analysis performed in this paper also reveals how the delamination behavior of the multilayered non-linear viscoelastic beam construction is influenced by various parameters of the temperature change, external loading and geometry of the beam. References [1] Kaul, A. B. (2014). Two-dimensional layered materials: Structure, properties, and prospects for device applications. J. Mater. Res., 29, 348-361. [2] Rizov, V. I. (2022). Viscoelastic inhomogeneous beam subjected to mechanical loading and periodically varying temperature: a longitudinal fracture analysis. Procedia Structural Integrity 41, 03-114.

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