B. Druyanov et I. Roman, FEATURES OF THE STRESS PATH AT THE POST ADAPTATION STAGE AND RELATED SHAKEDOWN CONDITIONS, International journal of solids and structures, 34(29), 1997, pp. 3773-3780
A new necessary condition for adaptation of elastic plastic bodies wit
h internal variables to cyclic loading is deduced from the features of
the deformation path at the post adaptation stage: shakedown is possi
ble for taken values of internal variables, if there exists a solution
of a min-max problem. In some cases (perfectly plastic bodies, and is
otropically strain hardening) the condition is also sufficient. In the
last case the condition provides a method to determining the minimum-
value of hardening parameter which can be acquired under the given loa
ding program. An example of application of the method is given. (C) 19
97 Elsevier Science Ltd.