کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
280381 | 1430381 | 2007 | 18 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Exact resultant equilibrium conditions in the non-linear theory of branching and self-intersecting shells Exact resultant equilibrium conditions in the non-linear theory of branching and self-intersecting shells](/preview/png/280381.png)
We formulate the exact, resultant equilibrium conditions for the non-linear theory of branching and self-intersecting shells. The conditions are derived by performing direct through-the-thickness integration in the global equilibrium conditions of continuum mechanics. At each regular internal and boundary point of the base surface our exact, local equilibrium equations and dynamic boundary conditions are equivalent, as expected, to the ones known in the literature. As the new equilibrium relations we derive the exact, resultant dynamic continuity conditions along the singular surface curve modelling the branching and self-intersection as well as the dynamic conditions at singular points of the surface boundary. All the results do not depend on the size of shell thicknesses, internal through-the-thickness shell structure, material properties, and are valid for an arbitrary deformation of the shell material elements.
Journal: International Journal of Solids and Structures - Volume 44, Issue 1, 1 January 2007, Pages 352–369