Solution of the ratchet-shakedown Bree problem with an extra orthogonal primary load

Shakedown analysis and assessment method of four-stress parameters Bree-type problems

“…Nayebi et al [42,43] extended the Bree diagram by considering damage mechanics and strain hardening, and the effects of strain hardening on the Bree diagram have also been studied by Pei et al [34, Shakedown analysis and assessment method of four-stress parameters Bree-type problems 3 44]. Since the original Bree problem is uniaxial, Bree and other scholars [45][46][47][48][49] have also developed some biaxial stress modified Bree diagrams; however, the biaxial stress Bree diagrams have not been widely used due to the over-conservatism. Hasbroucq et al [9] derived the modified Bree diagram of thin plate considering the temperature dependence of Young's modulus and Poisson's ratio.…”