... derivation of the associated flow rule can occur via the LAGRANGE multiplier method as extreme value with side - conditions from the principle of maximum plastic ... associated flow rule ( 11.12 ) 272 11 Plasticity 11.1.2 Flow Rule.

... Flow. Rule. F(σ,κ) = |σ| − kinit ≤ 0. The flow rule serves as a mathematical description of the evolution of the infinitesimal increments of the plastic strain dεpl in the course of the load history of the body. In its most general one ...

... flow direction.2 One considers that solely for dɛpl = 0 then dλ = 0 results . Based on the stability postulate of DRUCKER3 [ 18 ] the following flow rule ... associated flow rule . Experimental results , among other things from the area ...

The reason for this is discussed in connection with two examples concerning the finite enlargement of a circular hole in an infinite sheet of perfectly plastic or work-hardening material.

... associated flow rule and if it is different , it is called the non - associated flow rule ε = = h⋅ Əg df 20 ij ( 2.3.1 ) in which is the plastic strain rate , σ is the stress tensor , h is the hardening function , g is the plastic ...

... derivation above to a simple load - deflection experiment may appear difficult . If we twist a tube of ideal plastic material in torsion , the yield ... FLOW RULE FOR WORK HARDENING MATERIALS Flow Rule for Work-Hardening Materials.

... Equation ( 5.104 ) can then be rewritten as aF ¿ P = À - do ( 5.110 ) and the plastic strain rate è is normal to the yield surface . This is called the associated flow rule . On the other hand , if Q F , the flow rule is called ...