Numerical Treatment of Material Equations with Yield Surfaces

From SOI to Abstract Electric-Thermal-1D Multiscale Modeling for First Order Thermal Effects

“…The PDAE coupling of different modeling levels in the description of multiphysics phenomena has already been successfully used in different applications: flexible multibody systems [18] of both rigid and elastic-plastic bodies [19], simulation of interconnect [11] and device [10] effects in network analysis, as well as in fluid dynamics, for instance for blood circulation in human bodies [20] or in river flow simulations [21]. The incorporation of the drift-diffusion model (as steady state response for a SOI device) would enlarge the mathematical model by some additional elliptic equations, which include the electric potential and the quasi-Fermi potentials.…”

Modified Homotopy Perturbation Method for Dolving Nonlinear PDAEs and its Applications in Nanoelectronics

“…u(x,t) = e'" 1 ,v(x,t) = 1 -cos(i 2 jc), y(t) = t sin(0, z(t) = tan(0, w(/) = -. 1 + r To solve this PDAE, in the following we expand the coefficient of functions g t ,i = 1,2,···,5 at x,t by MTaylor expansion with ν = 45.…”

“…Such systems of PDAEs arise in many technologies like mechanical engineering as coupled multibody systems with sole or flexible/plastic system [1], in nanoelectronics and others [2][3][4][5][6], Furthermore, the wording PDAE is also used for singular implicit PDEs, i.e., where singular matrices arise in front of partial derivatives [7]. That is, we consider ideally joint lumped elements, without spatial coordinate, but with the topology information given by the incidences of these elements.…”