Shakedown analysis in poroplasticity by linear programming

✍ Scribed by G. Cocchetti; G. Maier

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 275 KB
• Volume: 47
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(20000110/30)47:1/3<141::aid-nme765>3.0.co;2-2

✦ Synopsis

Static (lower bound) and kinematic (upper bound) theorems for shakedown analysis (and limit analysis as special case) are presented for two-phase, fully saturated poroplastic solids in a context characterized by the following features: quasi-static, non-associative, non-softening (perfect or hardening) poroplasticity; piecewise linearized yield loci and hardening; constant permeability (linear #uid transport law); small deformations; non-traditional Galerkin "nite element discretization. With reference to cyclic (periodic) external actions, numerical examples centred on linear programming evidence the computational potentialities and limitations of &direct' (non-evolutive) methods of integrity assessment according to limit-state design concepts in poroplasticity.