Кл.слова (ненормированные):
Approximation theory -- Calculations -- Deformation -- Degrees of freedom (mechanics) -- Functions -- Kinematics -- Numerical analysis -- Shells (structures) -- Strain -- Tensors -- Vectors -- Displacement field -- Green Lagrange strain tensor -- Linear function -- Shell finite deformation -- Tangential derivatives -- Transversal derivatives -- Two dimensional -- Mathematical models
Аннотация: The double approximation of a displacement field in relation to the transversal coordinate is applied in constructing the two-dimensional model of a shell finite deformation. One of them, linear, is used in calculating the tangential derivatives of displacement field, the other, quadratic, is for the transversal derivative. In result, the displacement field gradient is approximated by the linear function of the transversal coordinate and the Green-Lagrange strain tensor is done by the quadratic one. The two-dimensional model of a shell finite deformation, accordant with the double approximation, contains three unknown vectors as internal kinematical variables of a shell base surface. Only two of them, coefficients of the linear approximation, are factors of the kinematical boundary conditions. They are primary vectorial parameters of the model and give six scalar degrees of shell freedom. The double approximation model of a shell finite deformation can be interpreted as the six-parametrical one with complete strain tensor. The model can be recommended for numerical analysis of shells, heterogeneous through thickness and laminated specifically.
Scopus
Держатели документа:
Computing Cent of the Siberian, Branch of the Russian Acad of, Sciences, Krasnoyarsk, Russian Federation
ИВМ СО РАН
Доп.точки доступа:
Shkutin, L.I.; Шкутин, Леонид Иванович; Feodorova, N.A.