In the present paper, the authors discuss the locking phenomenon oI the lmlte element method for three-dimensional elasticity as the Lamé constant λ→∞. Three kinds of finite elements are proposed and analyzed ...In the present paper, the authors discuss the locking phenomenon oI the lmlte element method for three-dimensional elasticity as the Lamé constant λ→∞. Three kinds of finite elements are proposed and analyzed to approximate the three-dimensional elasticity with pure displacement boundary condition. Optimal order error estimates which are uniform with respect to λ ∈(0,∞) are obtained for three schemes. Furthermore, numerical results are presented to show that, our schemes are locking-free and and the trilinear conforming finite element scheme is locking.展开更多
In this paper, the authors present a locking-free scheme of the lowest order nonconforming rectangle finite element method for the planar elasticity with the pure displacement boundary condition. Optimal order error e...In this paper, the authors present a locking-free scheme of the lowest order nonconforming rectangle finite element method for the planar elasticity with the pure displacement boundary condition. Optimal order error estimate, uniformly for the Lamé constant λ∈(0,∞) is obtained.展开更多
文摘In the present paper, the authors discuss the locking phenomenon oI the lmlte element method for three-dimensional elasticity as the Lamé constant λ→∞. Three kinds of finite elements are proposed and analyzed to approximate the three-dimensional elasticity with pure displacement boundary condition. Optimal order error estimates which are uniform with respect to λ ∈(0,∞) are obtained for three schemes. Furthermore, numerical results are presented to show that, our schemes are locking-free and and the trilinear conforming finite element scheme is locking.
文摘In this paper, the authors present a locking-free scheme of the lowest order nonconforming rectangle finite element method for the planar elasticity with the pure displacement boundary condition. Optimal order error estimate, uniformly for the Lamé constant λ∈(0,∞) is obtained.
