Plasticity based interface model for failure modelling of unreinforced masonry under cyclic loading

P. V. S. K. Kumar, Amirtham Rajagopal, Manoj Pandey
Author affiliations

Authors

  • P. V. S. K. Kumar Department of Civil Engineering, Indian Institute of Technology Hyderabad, India
  • Amirtham Rajagopal Department of Civil Engineering, Indian Institute of Technology Hyderabad, India
  • Manoj Pandey Department of Mechanical Engineering, Indian Institute of Technology Madras, India

DOI:

https://doi.org/10.15625/0866-7136/15479

Keywords:

plasticity interface model, single yield surface, back stress vector, simplified micro model

Abstract

In this work our objective is to understand the failure behaviour of unreinforced masonry under in-plane cyclic loading. For this purpose we proposed a plasticity based interface model consists of a single yield surface criteria which is a direct extension of Mohr-Coulomb criteria with a tension cut and compression cap and a back stress vector is introduced as a mixed hardening law variable  in the adopted yield surface to capture the unloading/reloading behaviour of masonry under cyclic loading. A simplified micromechanical interface modelling approach is adopted to capture all the failure modes of masonry. The integration of the differential constitutive equation is  done by using implicit Euler backward integration approach and the obtained non-linear set of equations are solved by a combined local/global Newton solver. The proposed constitutive model  is implemented in ABAQUS by writing  UMAT (user-defined subroutine) and the obtained numerical results are compared with  experimental results available in the literature.

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Published

27-09-2020

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Scientific articles dedicated to Professor J.N. Reddy