Research on conventional spline domains for elastic-plastic problems of thick/thin plate based on new spline basis function
Chen Kong-hui
Abstract
Chen Kong-hui
Abstract
In order to establish a spline subdomain that can be commonly used for elastic-plastic problems of thick/thin plate,displacement parameter method and spline finite point method are used.Taking displacement as independent variable,a new set of spline basis functions were deducted.The domains were proved to be shear-locking free while the plates vary from thick to thin.The example shows that the new spline domains are accurate,convergent,effective and reliable,and can be commonly applied to thick/thin plate problems.
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In order to establish a spline subdomain that can be commonly used for elastic-plastic problems of thick/thin plate,displacement parameter method and spline finite point method are used.Taking displacement as independent variable,a new set of spline basis functions were deducted.The domains were proved to be shear-locking free while the plates vary from thick to thin.The example shows that the new spline domains are accurate,convergent,effective and reliable,and can be commonly applied to thick/thin plate problems.
Key concepts: Thin plate spline, Spline (mechanical), M-spline, Smoothing spline, Hermite spline, Basis function, Mathematics, Plate theory