PSI - Issue 43

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2022) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2022) 000 – 000

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ScienceDirect

Procedia Structural Integrity 43 (2023) 83–88

© 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under the responsibility of MSMF10 organizers. © 20 23 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under the responsibility of MSMF10 organizers. Abstract For th first tim a two-dimensional stress-function method describing th stress transfer in thr e-layered a hesively bonded tungste disulfide/poly(methyl methacrylate) nanoc mposite structure, subjected to axial load h s be n developed and applied. The governing fourth-order ordinary differential equation of with constant coefficients for th axial stress in the first layer has been obtained minimizing the strain energy in the whol structure and solved analytically. Dependi g f the sign of the discriminant of the respective characteristic quatio of the 4 th order differential equation for the c nsidered nanocomposite structure, two different analytic l solutio s have b en obtained for axial stress in the first layer. The type of solutions depends str gly from the geometry (length and t ickness of the layers), material properties and magnitude f applied load. Th two-dim nsional stresses (axial, shear and peel) i the structure’s layers are expressed and calculat d as functions of this axial on and its erivatives and illustr t it t ree-dimen ional graphics, for both solutions. The model results for axial stress in tungsten disulfide (WS 2 ) were compared with shear – lag results and show good agreement in elastic region of applied tension load. © 20 23 The Authors. Published by Elsevier B.V. This is an ope access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under the responsibility of MSMF10 organizers. 10th International Conference on Materials Structure and Micromechanics of Fracture Modelling of the two-dimensional stresses in a three-layered adhesively bonded tungsten disulfide/poly(methyl methacrylate) nanocomposite structure under axial load Tatyana Petrova a, *, Elisaveta Kirilova a , Wilfried Becker b , Natasha Vaklieva-Bancheva a , Rayka Vladova a , Petya Dineva-Vladikova c , a Bulgarian Academy of Sciences, Institute of Chemical Engineering, Acad. G. Bonchev Str., Bl.103, Sofia 1113, Bulgaria b Institute of Structural Mechanics, TU Darmstadt, Franziska-Braun-Str. 7, L5|01 347a, 64287 Darmstadt, Germany c Bulgarian Academy of Sciences, Institute of Mechanics, Acad. G. Bonchev Str., Bl.4, Sofia 1113, Bulgaria Abstract For the first time a two-dimensional stress-function method describing the stress transfer in a three-layered adhesively bonded tungsten disulfide/poly(methyl methacrylate) nanocomposite structure, subjected to axial load has been developed and applied. The governing fourth-order ordinary differential equation of with constant coefficients for the axial stress in the first layer has been obtained minimizing the strain energy in the whole structure and solved analytically. Depending of the sign of the discriminant of the respective characteristic equation of the 4 th order differential equation for the considered nanocomposite structure, two different analytical solutions have been obtained for axial stress in the first layer. The type of solutions depends strongly from the geometry (length and thickness of the layers), material properties and magnitude of applied load. The two-dimensional stresses (axial, shear and peel) in the structure’s layers are expressed and calculated as functions of this axial one and its derivatives and illustrated with three-dimensional graphics, for both solutions. The model results for axial stress in tungsten disulfide (WS 2 ) were compared with shear – lag results and show good agreement in elastic region of applied tension load. 10th International Conference on Materials Structure and Micromechanics of Fracture Modelling of the two-dimensional stresses in a three-layered adhesively bonded tungsten disulfide/poly(methyl methacrylate) nanocomposite structure under axial load Tatyana Petrova a, *, Elisaveta Kirilova a , Wilfried Becker b , Natasha Vaklieva-Bancheva a , Rayka Vladova a , Petya Dineva-Vladikova c , a Bulgarian Academy of S ie ce Institute of Chemical Engineeri g, Acad. G. Bonchev Str., Bl.103, Sofia 1113, Bulgaria b Institute of Structural M chanics, TU Darmstadt, Franzisk -Braun-Str. 7, L5|01 347a, 64287 Darmstadt, Germany c Bulgarian Academy of Sciences, Institute of Mechanics, Acad. G. Bonchev Str., Bl.4, Sofia 1113, Bulgaria Keywords: two-dimensional stress-function method; three-layer WS 2 /SU-8/PMMA nanocomposite; applied mechanical load; analytical solutions Keywords: two-dimensional stress-function method; three-layer WS 2 /SU-8/PMMA nanocomposite; applied mechanical load; analytical solutions

* Corresponding author. Tel.: +359-889-68-87-65. E-mail address: t.petrova@iche.bas.bg * Correspon ing author. Tel.: +359-889-68-87-65. E-mail address: t.petrova@iche.bas.bg

2452-3216 © 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under the responsibility of MSMF10 organizers. 2452-3216 © 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under the responsibility of MSMF10 organizers.

2452-3216 © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under the responsibility of MSMF10 organizers. 10.1016/j.prostr.2022.12.239