Engineering Mechanics

Proceedings Vol. 20 (2014)

ENGINEERING MECHANICS 2014

Copyright © 2014 Brno University of Technology Institute of Solid Mechanics, Mechatronics and Biomechanics

 

Gajewski M., Jemioło S.
pages 212 - 215, full text

In the paper the class of relatively simple constitutive models of hyperelastic non-homogeneous composite materials with isotropic matrix reinforced with continuous fiber families is proposed. The model was formulated on the basis of strain energy additivity assumption. Proposed class of constitutive models reduce in approximation to the classical for linear theory models of fibrous composites, where full bounding between matrix and fibers is assumed. The strain energy potential for proposed model is a poly-convex function, what ensure existence of solution of boundary value problems for hyperelasticity and good numerical conditioning. Constitutive relationships expressed in objective incremental form are implemented in FORTRAN in user procedure UMAT of FEM system ABAQUS. The numerical tests were carried out to check correctness of the implementation, and two types of boundary value problems of tubes tension/compression tests are solved.

Text and facts may be copied and used freely, but credit should be given to these Proceedings.

All papers were reviewed by members of the scientific committee.