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Full-Text Articles in Physical Sciences and Mathematics
The Complementing Condition In Elasticity, Lavanya Ramanan
The Complementing Condition In Elasticity, Lavanya Ramanan
Masters Theses
We consider a boundary value problem of nonlinear elasticity on a domain [omega] in R3 [3-dimensional space] and compute the Complementing Condition for the linearized equations at a point X0 [x zero] on boundary of omega. We assume a stored energy function depending on the first and third invariants of the deformation F and that the strong-ellipticity condition holds in [omega] . A surface traction boundary condition is imposed at X0.
The Complementing Condition is calculated from a system of 3 second-order ordinary differential equations (0 less than and equal to t less than infinity) with boundary …
The Symmetric Positive Solutions Of Four-Point Problems For Nonlinear Boundary Value Second-Order Differential Equations, Qu Haidong
qu haidong
In this paper, we are concerned with the existence of symmetric positive solutions for second-order differential equations. Under the suitable conditions, the existence and symmetric positive solutions are established by using Krasnoselskii’s fixed-point theorems.