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Topology optimization of 2D elastic structures using boundary elements
(Elsevier, 2008-07-03)
Topological optimization provides a powerful framework to obtain the optimal domain topology for several engineering problems. The topological derivative is a function which characterizes the sensitivity of a given problem ...
Topological methods for a nonlinear elliptic system with nonlinear boundary conditions
(Inderscience Publishers, 2009-09)
A nonlinear elliptic second order system with a nonlinear boundary condition is studied. We prove an existence result under a Hartman type condition. Moreover, assuming appropriate conditions of Nirenberg type, we prove ...
Sturm-Liouville boundary conditions for a second order ODE.
(2011-10-13)
We study the semilinear second order ODE u00 + g(t, u) = 0 under the following Sturm- Liouville boundary condition au(0) + bu0(0) = u0 and cu(T) + du0(T) = uT . We obtain solutions by topological methods. Moreover, we show ...
Geometry of cuspidal edges with boundary
(2018-02-01)
We study differential geometric properties of cuspidal edges with boundary. There are several differential geometric invariants which are related with the behavior of the boundary in addition to usual differential geometric ...
Design of bi-metallic devices based on the topological derivative concept
(Pergamon-Elsevier Science Ltd., 2015-01)
In this work the topological derivative concept is applied in the context of topology design of thermo-mechanical devices, where the linear elasticity system (modeled by the Navier equation) is coupled with the steady-state ...
Wecken property for coincidences of boundary-preserving maps between surfaces
(2021-04-15)
We study the Wecken property for coincidences in the setting of boundary-preserving maps between surfaces with nonempty boundary. We consider the situation where the domain surface has non-negative Euler characteristic and ...
Piezoresistive device optimization using topological derivative concepts
(Springer, 2014-10)
A piezoresistive sensor is composed of a piezoresistive membrane attached to a flexible plate. The piezoresistive material is anisotropic, and its electrical properties change when subjected to mechanical stresses. In this ...