Due　to　the　implicit　nature　and　the　large　quantity　of　stress　constraints,　topology　optimization　for　plate　and　shell　structures　with　stress　constraints　is　difficult　to　construct.　In　order　to　overcome　these　issues,　the　element　weight　penalty　function　and　the　material　allowable　stress　penalty　function　are　introduced　to　the　solid　isotropic　material　penalization　(SIMP)　method　by　analogizing　the　filter　functions　in　the　independent　continuous　and　mapping　(ICM)　method.　The　concept　of　penalty　functions　in　the　SIMP　method　is　extended.　Subsequently,　the　stress　constraint　globalization　strategy　in　the　ICM　method　is　transferred　into　the　extended　SIMP　method.　The　approximated　explicit　functions　of　the　structural　distortion　energy　constraints　are　formulated　to　replace　the　stress　constraints.　Finally,　topology　optimization　for　plate　and　shell　structures　in　various　loading　scenarios　are　constructed　and　solved　by　the　dual　sequential　quadratic　programming　method.　The　optimization　programming　is　implemented　on　the　platform　of　Abaqus　software　package　based　on　the　Python　script　language.　Good　results　are　obtained　by　implementing　the　proposed　approach　in　several　examples,　which　show　the　feasibility　and　efficiency　of　the　proposed　approach.　©,　2015,　Tsinghua　University.　All　right　reserved.