A mortar contact formulation using scaled boundary isogeometric analysis

Contact analysis is recognized as being the most challenging problem in computational mechanics,because the functional system of contact problems is nonlinear and non-smooth and the convergence and accuracy of contact algorithms are difficult to guarantee.In the traditional finite element method(FEM)-based contact analysis[1,2],the contact body is spatially discretized,and the contact boundary is described using a low-order Lagrange interpolation polynomial.

Contact analysis is recognized as being the most challenging problem in computational mechanics, because the functional system of contact problems is nonlinear and non-smooth and the convergence and accuracy of contact algorithms are difficult to guarantee. In the traditional finite element method （FEM）-based contact analysis [1,2], the contact body is spatially discretized, and the contact boundary is described using a low-order Lagrange interpolation polynomial. While low-order Lagrange interpolation polynomial works well for planar and low-curvature surfaces [3], artificial oscillations in the contact force and numerical difficulties in the nonlinear solution algorithm occur when a large curvature or finite deformation is encountered [2].