A new approach to the analysis of the stress-strain state of adhesive joints and the transverse strength of layered composites is proposed. It consists in a combined use of finite-element and contact layer methods. Based on this approach, the problem of the long-term strength in normal separation of two adhesively bonded disks glued together by an epoxy resin, which was previously considered by R. A. Turusov, is solved. The nonlinear Maxwell–Gurevich equation is used as the law of adhesion creep. The model constructed by R. A. Turusov does not take into account the shear creep strains of contact layer and is based on the hypothesis of linear distribution of shear stresses across the thickness of adhesive layer and substrate. It was found that these simplifications lead to overestimated tangential stresses. By analyzing the creep law with time tending to infinity, the long-term elastic modulus and Poisson ratio of the adhesive are derived and the reliability of their values is confirmed.
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N. Y. Tsybin, R. A. Turusov, and V. I. Andreev, “Comparison of creep in free polymer rod and creep in polymer layer of the layered composite,” Proc. Eng., 153, 51-58 (2016).
V. I. Andreev, R. A. Turusov, and N. Y. Tsybin, “Application of the contact layer in the solution of the problem of bending the multilayer beam,” Proc. Eng., 153, 59-65 (2016).
V. I. Andreev, R. A. Turusov, and N. Y. Tsybin, “Long strength of layered composite under normal fracture,” 5th Int. Conf. Advanced Design and Manufacturing Engineering, Atlantis Press, (2015).
R. A. Turusov, “Elastic and thermal behavior of a layered structure I. Experiment and theory,” Mech. Compos. Mater., 50, No. 6, 801-808 (2015).
R. A. Turusov, “Elastic and thermal behavior of a layered structure. Part II. Calculation results and their analysis,” Mech. Compos. Mater., 51, No. 1, 127-134 (2015).
V. Andreev, R. Turusov, and N. Tsybin, “The edge effects in layered beams,” IOP Conf. Ser: Materials Science and Engineering 21, Construction - The Formation of Living Environment, 042049 (2018).
V. I. Andreev, and R. A. Turusov, “Thermal strength of adhesion bond,” Appl. Mech. Mater., 670, 153-157 (2014).
R. A. Turusov, and L. I. Manevich, “Contact-layer method in adhesive mechanics: Adhesive strength during normal detachment,” Polymer Sci. Ser. D., 3, No. 3, 159-169 (2010).
A. S. Freidin, and R. A. Turusov, Properties and Calculation of Adhesive Joints, M., Publ. House Chem, (1990).
R. A. Turusov and L. I. Manevich, “Contact layer method: Determining parameters of rigidity and true strength of an adhesion bond for a contact layer,” Polymer Sci. Ser. D., 4, No. 1, 1-4 (2011).
R. A. Turusov and L. I. Manevich, “The method of the contact layer in adhesion mechanics,” Glues Hermetics Technol., No. 6, 2-11 (2009).
R. A. Turusov, A. Y. Gorenberg, and B. M. Yazyev, “Long-term normal tearing strength of adhesive bonds,” Polymer Sci. Ser. D., 5, No. 1, 7-14 (2012).
R. A. Turusov and L. I. Manevich, “Contact layer method in adhesive mechanics,” Polymer Sci. Ser. D., 3, No. 1, 1-9 (2010).
R. A. Turusov and L. I. Manevich, “Introduction to adhesion mechanics,” Polymer Sci. Ser. D., 2, No. 4, 209-213 (2009).
Turusov R. A., Kuperman A. M. Elastic properties of thin adhesive interlayers,” Polymer Sci. Ser. D., 7, No. 1, 1-8 (2014).
K. Meguro and H. Tagel-Din, “Applied element method for structural analysis: Theory and application for linear materials,” Structural Eng./Earthquake Eng., Japan Soc. Civil Eng. (JSCE), 17, 21-35 (2000).
A. S. Chepurnenko, A. A. Savchenko, and V. S. Chepurnenko, “Applied element method in the solution of plane problems in the theory of creep,” Mater. Phys. Mech., 42, 455-460 (2019).
C. Grunwald, A. A. Khalil, B. Schaufelberger, E. M. Ricciardi, C. Pellecchia, E. De Iuliis, and W. Riedel, “Reliability of collapse simulation — Comparing finite and applied element method at different levels,” Eng. Struct., 176, 265-278 (2018).
J. M. Adam, F. Parisi, J. Sagaseta, and X. Lu, “Research and practice on progressive collapse and robustness of building structures in the 21st century,” Eng. Struct., 173, 122-149 (2018).
D. Malomo, R. Pinho, and A., “Penna Using the applied element method to simulate the dynamic response of full-scale URM houses tested to collapse or near-collapse conditions,” Earthquake Eng. Structural Dynamics., 47, 1610-1630 (2018).
A. E, Dudnik, B. M. Yazyev, A. S. Chepurnenko, A. S. Denego, “Stress-strain state of a multilayer polymer pipe at nonlinear creep,” Izv. Kabardino-Balkar. Gos. Univ., No. 1, 37-41 (2016).
B. M. Yazyev et al., “The definition of a critical deflection of compressed rods with the creep by the method of Bubnov–Galerkin,” Materials Sci. Forum., 931, 127-132 (2018).
B. M. Yazyev, S. V. Litvinov, and S. B. Yazyev, “Thermoviscoelasticity problem for a multilayer inhomogeneous polymeric cylinder,” Int. Polymer Sci. Technol., 36, No. 2, 49-51 (2009).
A. S. Chepurnenko, “Stress-strain state of three-layered shallow shells under conditions of nonlinear creep,” Magazine Civil Eng., No. 8, 156-168 (2017).
A. L. Rabinovich, Introduction to the Mechanics of Reinforced Polymers [in Russian], Moscow, Nauka (1970).
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 57, No. 3, pp. 517-534, May-June, 2021.
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Chepurnenko, A.S., Litvinov, S.V. & Yazyev, S.B. Combined Use of Contact Layer and Finite-Element Methods to Predict the Long-Term Strength of Adhesive Joints in Normal Separation. Mech Compos Mater 57, 349–360 (2021). https://doi.org/10.1007/s11029-021-09959-w
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DOI: https://doi.org/10.1007/s11029-021-09959-w