Modeling of a Complete Deformation Diagram for Materials With Properties of Auxetics

Abstract

A two-level model of a material with random deformation and strength properties of microstructure elements is used. The damage of microstructure elements with random levels of porosity is considered. The microstructural strength condition is defined by the distribution density of random critical strains. The calculation of the descending branch of the complete deformation diagram is performed with regard for the negative coefficient of transverse deformation of the material. The influence of the microstructure properties on the strain-stress relationship of the material is demonstrated. Resource and Mechanics of materials and structures, 2016, iss. 3, pp. 21-30. Available at: http://dream-journal.org/issues/ 2016-3/2016-3_83.html (accessed 25.02.2017. DOI: 10.17804/2410DOI: 10.17804/ -9908.2016. KeywordsStruzhanov V.V. On the construction of a structural model of a material on the basis of the results of a macroscale experiment. Vestnik Samarskogo gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 2009, vol. 1, iss. 18, pp. 283-286. (In Russian tekhn. un-ta. Ser. Fiz.-mat. nauki, 2007, vol. 1, iss. 14, pp. 29-39. (In Russian). 9.Privalova V.V., Struzhanov V.V. Some features of changes in the elastic properties of a brittle material under cyclic tension. Uchonye zapiski Komsomolskogo-na-Amure gosudarstvennogo