کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
499797 863061 2008 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An energy error-based method for the resolution of the Cauchy problem in 3D linear elasticity
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
An energy error-based method for the resolution of the Cauchy problem in 3D linear elasticity
چکیده انگلیسی

A new method is described for the problem of expanding known displacement fields at the boundary of a solid together with the surface tractions on it, towards the solid interior up to the inaccessible part of the boundary. The solid is supposedly linearly elastic with known elastic moduli (but not necessarily homogeneous nor isotropic). The problem is the Cauchy problem for the Lamé Operator. A new form of this Cauchy problem suited for applications associated with surface tangential fields’ measurements is also stated and studied. The method is based on the splitting of the elastic fields into two separate solutions of well-posed problems; the gap between these fields is subsequently minimised with respect to the unknown boundary data in order to produce the desired expanded elastic fields. The gap used here is an energy error associated with the elastic energy of the system. Various 3D applications are given, including non-linear boundary conditions on the unreachable boundary.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 197, Issues 9–12, 1 February 2008, Pages 902–920
نویسندگان
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