Abstract
The mathematical model for elastoplastic calculation of spatial rod is considered with taking into account shear deformation. It is supposed to use this model in hybrid method of finite elements for determination of elastoplastic deformation in rod systems with geometric nonlinearity. In this case the rod stiffness matrix will be determined by force method or by functions of element’s form using the matrix of tangent stiffness of cross section. This matrix counts the stress state in each elementary area of cross section given the shear. The hybrid approach allows to eliminate the finite elements along the rod length and replace them with integration sites. The calculation algorithm of elastoplastic deformation for a spatial rod is provided considering the geometric nonlinearity. The proposed nonlinear model can be used in finite element method in form of displacement and force methods to elaborate a special mechanism for building a system of resolving equations. The results are compared based on the example of spatial console rod calculation.
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