Implicit integration and consistent linearization for yield criteria of the Mohr–Coulomb type

✍ Scribed by Ragnar Larsson; Kenneth Runesson

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 801 KB
• Volume: 1
• Category: Article
• ISSN: 1082-5010
• DOI: 10.1002/(sici)1099-1484(199610)1:4<367::aid-cfm19>3.0.co;2-f

✦ Synopsis

In this paper, we discuss the efficient treatment of yield criteria that are of the Mohr-Coulomb type for elastic and plastic isotropy. On the basis of the hlly implicit method, we derive the explicit expression for the integrated stress along with a flow rule that represents volumetric non-associativity. The integration algorithm covers all the possible cases of regular, corner and apex solutions including the suitable indicator for each case. We also establish the consequent consistently linearized tangent stiffness modulus tensor, which is shown to appear in the form of an additive modification of the continuum tangent stiffness tensor. The convergence properties of the consistent tangent stifhess tensor are compared with its feasible approximations. The results indicate the strongly sensitivity to the proper treatment of the corner conditions at the establishment of the ATS-tensor.