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1.Introduction
Aplanesteelsheetfoldedinonedirectioncaneasilybetransformedinto
manyvarioussurfacesintermsoftypesanddegreeoftheshapetransformations
[5].Astripofmanysuchsheetsconnectedonetoanotheralongtheir
longitudinalborders,spreadovertwodirectricesofashellroof,adaptsitsshape
totherequiredborderconditionsincludingamutualpositionandcurvaturesof
thesedirectrices[6],Fig.1-1.
Fig.1-1.Effectivelytransformedexperi-
mentalshellssupportedbystraightand
curveddirectrices
Thus,shapeofeachfoldoftheshellsheetingdependsonitsso-called
boundaryconditions,thatareveryspecificforthetransformedroofsheetings
characterizedbyorthotropicproperties[5,57,89].Theborderconditionsare
changedalongeachoftwodirectrices,sothesubsequentfoldsoftheshellcanbe
undergonevariousshapetransformationsonaccountoftheirtypeandvalues
[17,91].
Definition1
Ashellfoldisanindividualfoldofasheetingtransformedintoshellshape.
Itismodelledwithafoldreferencesurface,soitisasectorof
awarpedsurfacelimitedbystraightedgescorrespondingtotwostraight
edgesofthesamefold,seeFig.1-2.
