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Deformation and Damaging of Composites with Transversally‐isotropic Components under Compressive Loading
Author(s) -
Nazarenko Lidija,
Khoroshun Leonid,
Müller Wolfgang H.,
Wille Ralf
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010057
Subject(s) - isotropy , materials science , composite material , deformation (meteorology) , nonlinear system , compressive strength , porosity , compression (physics) , composite number , fracture (geology) , matrix (chemical analysis) , stress (linguistics) , tension (geology) , physics , linguistics , philosophy , quantum mechanics
In the present paper, the problem of deformation and damage of composites with a porous isotropic matrix and transversally‐isotropic unidirectional fibers under compressive loading is considered when microdamages are accumulated in the fiber. Fractured micro‐volumes are modelled by a system of randomly distributed quasi spherical pores. The Shleicher‐Nadai fracture criterion is used as a condition for the origin of micro‐pores (micro‐damage) based on the assumption of a rigid material. The limit value of the strength of the material is assumed as a stochastic function of coordinates. By using a numerical procedure, the solution of the above problem is found. The nonlinear stress‐strain diagrams for a transversally‐isotropic composite are obtained for the case of uniaxial compression‐tension along the fibers. The nonlinearity of the deformations of the composite is caused by accumulation of micro‐damages in the matrix. The influence of the physical‐mechanical properties of materials, of the volume concentration, of the porosity of components, of the geometrical parameters of the structure, and of the character of the scatter of the strength in the material on the micro‐damage of the material and, as a consequence, the influence on the macro‐stress‐macro‐strain diagram is analyzed. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)