Finite element approximation of a two-point boundary-value problem in nonlinear elasticity
نویسنده
چکیده
In Ihis paper finite elemenl approximations of a one-dimensional nonlinear boundary-value problem in finite elasticity are considered. Under reasonable conditions on the form of the constitutive equations, it is shown that optimal rates of convergence can be obtained in W~.A criterion for the monolonicity of the stress operator is estahlished. In addition, L,,-estimates are also derived. A numerical example is included in which results are ohlained that confirm some of the theoretical estimates.
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