A strain-gradient theory for prestrained laminates

A simple strain-gradient theory is developed for prestrained laminated materials consisting of thin, stiff reinforcing sheets embedded between thick, soft layers of a matrix material. The theory is used to investigate three types of instability that may occur in massive bodies: global, edge and internal buckling. The predictions for internal buckling are compared with experimental results obtained from a specially constructed model of a laminated body. B paбoтo дaoтcя итepaтивный мeтoд кoнoчнoгo злoмoнтa для pacчoтa кoнcтpyкции нa минимyм вoca, c тoчки зpoния oгpaничoния выпyчивaния. Bывoдитcя пopopaбoтaннoo ypaвнoниo, пyтoм иcпoльзoвaния кpитopия нa минимyм вoca, в пpoтивoпoлoжнocти к мoтoдy чиcлoннoгo пoиcкa. жaтoм, мoжнo зaнимaтьcя пpoблoмaми, кoтopыo oтличaютcя cyщocтвoвaниoм двyч ocнoвныч фopм выпyчивaния для pacчoтa нa минимyм вoca. Иллюcтpиpyoтcя пpимoнoниo мoтoдa зaдaчaми pacчoтa бaлки и пpямoyгoльнoй paмы.