FEATURES OF THE STRESS PATH AT THE POST ADAPTATION STAGE AND RELATED SHAKEDOWN CONDITIONS

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.