PSI - Issue 28

ScienceDirect Structural Integrity Procedia 00 (2019) 000–000 Structural Integrity Procedia 00 (2019) 000–000 Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceD rect Available online at www.sciencedirect.com ScienceDirect

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 28 (2020) 1909–1917

© 2020 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 responsibility of the European Structural Integrity Society (ESIS) ExCo Abstract A technique for numerical analysis of nonlinear dynamic deformation and progressive failure of multi-layered metal-plastic shells of revolution is developed with account for their strain-rate dependent strength characteristics. The kinematic deformation model of a layered package is based on the non-classical theory of shells. The geometric dependencies are formulated based on the quadratic version of the nonlinear theory of elasticity. The relationship between stress and strain tensors in a composite macrolayer is established on the basis of Hooke's law for an orthotropic body combined with the theory of effective modules, while for metal macrolayer, within the flow theory with linear hardening. The process of progressive layer-by-layer failure is described in the framework of the degradation model of stiffness characteristics. The strain rate dependence of stiffness and strength characteristics of composite materials is accounted for. An energetically consistent system of equations of motion for a shell of revolution is constructed using the principle of possible displacements. A numerical method for solving the problem is based on an explicit variational-difference scheme. The adequacy of the proposed technique was considered on the problem of unsteady deformation of a cylindrical shell subjected to pulse pressure simulating an explosion in the shell center. © 2020 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 responsibility of the European Structural Integrity Society (ESIS) ExCo Keywords: composite materials; shells of revolution; strength; failure; numerical methods; explosive loading. 1. Introduction Due to their effective energy absorption, increased crack-resistance and non-splintering character of possible failure, composite materials are widely used in constructing protective structures subjected to intense pulse loadings. 1st Virtual European Conference on Fracture Mathematical modeling of progressive failure of two-layer metal plastic shells of revolution under pulse loading Igumnov L.A., Abrosimov N.A., Novoseltseva N.A.* Research Institute for Mechanics, National Research Lobachevsky State University of Nizhny Novgorod, 23 Gagarin Avenue, building 6, Nizhny Novgorod 603950, Russian Federation Abstract A technique for numerical analysis of nonlinear dynamic deformation and progressive failure of multi-layered metal-plastic shells of revolution is developed with acc u t for their str in-rat depende t strength characteristics. The kinematic deformation model a layered package is based on the non-classical theory of shells. Th geometric dependencies are formulated b sed on the quadr tic version of the nonlinear theory of e ti ity. The relationship betwe n stress and strain ten ors in a composite macr layer is establish d on the basis of Hooke's law or n orthotropic body com ined with the theory of effective modules, while fo metal macrolayer, within the flow the ry with line r hardening. The pr cess of progressive la er-by-layer failure is described in the fr mework of the degradation m del of stiff ss characteristics. The strain rate dependence of stiffness and str ngth characteristics of composite materials is account d for. A energeti ally consist nt system of equations of motion for a shell of revolution i constructed using the principle of possible displac ments. A um rical meth d for solving the pr blem is based on an explicit variational-differenc scheme. The adequacy of the proposed technique was c nsidered o the problem of unst ady deformat on of a cyli drical shell subj cted to puls pressure simulating an xplosion in the shell c nter. © 2020 The Aut ors. 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 responsibility of the European Structural Integrity Society (ESIS) ExCo Keywords: composite materials; shells of revolution; strength; failure; numerical methods; explosive loading. 1. Introduction Due to their effective energy absorption, increased crack-resistance and non-splintering character of possible failure, c mposit ma erials are widely used in constructing prot ctive structures subject d to intense pulse loadings. 1st Virtual European Conference on Fracture Mathematical modeling of progressive failure of two-layer metal plastic shells of revolution under pulse loading Igumnov L.A., Abrosimov N.A., Novoseltseva N.A.* Research Institute for Mechanics, National Research Lobachevsky State University of Nizhny Novgorod, 23 Gagarin Avenue, building 6, Nizhny Novgorod 603950, Russian Federation

* Corresponding author. Tel.: +7-903-609-7788; fax: +7-831-465-6611. E-mail address: knadya2004@mail.ru * Corresponding author. Tel.: +7-903-609-7788; fax: +7-831-465-6611. E-mail address: knadya2004@mail.ru

2452-3216 © 2020 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 responsibility of the European Structural Integrity Society (ESIS) ExCo 2452-3216 © 2020 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 responsibility of the European Structural Integrity Society (ESIS) ExCo

2452-3216 © 2020 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 responsibility of the European Structural Integrity Society (ESIS) ExCo 10.1016/j.prostr.2020.11.014