An extended endochronic theory formulation of plastically deformed damaged indian bamboo under uniaxial compression

Abstract

This paper presents a series of uniaxial compressive loading tests carried out on cylindrical samples of Indian bamboo, in order to develop stress-strain models. The bamboo species Oxytenanteraabyssinica from the Congo Basin forest was used for these tests. The non-linear behaviour of Indian bamboo may be attributed to two distinct mechanical processes, plasticity and damage.

These two degradation phenomena are described best by the theories of plasticity and continuum damage mechanics. Thus a multi-dissipative model that accounts for both plasticity and damage is necessary. The mathematical model is produced using the endochronic theory of plasticity coupled with isotropic damage as well as the principle of equivalent strain. The major experimental parameters used to obtain the proposed model were obtained from the tests results. The cyclic and monotonic loading regimes were employed to investigate this nonlinear behaviour of Indian bamboo under uniaxial monotonic compression loading.

The proposed stress-strain model was compared to the tests results and the comparison showed that the predicted model provides a good agreement with the test data.