Nonlinear Problems During Consolidation Process

Dłużewski, J. M.

doi:10.1007/978-3-7091-2578-6_4

Cited by 2 publications

(2 citation statements)

References 37 publications

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“…Due to the high deformation levels, an important role is played by the elastic nonlinearity; we applied the anisotropic hyperelastic model that uses hardening for the compression and softening for the extension. 23 This asymmetry in the behavior of the material corresponds to experimental observations and to atomistic simulations based on interatomic potentials. 24 Our numerical procedure allows us to impose stress free lattice deformation at each node.…”

Section: Approach To the Local In Composition Determinationsupporting

confidence: 66%

Composition fluctuation in InGaN quantum wells made from molecular beam or metalorganic vapor phase epitaxial layers

Ruterana

Kret

Vivet

et al. 2002

Journal of Applied Physics

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Articles you may be interested inIn situ X-ray investigation of changing barrier growth temperatures on InGaN single quantum wells in metalorganic vapor phase epitaxy J. Appl. Phys. 115, 094906 (2014); 10.1063/1.4867640High-quality 1.3 μm-wavelength GaInAsN/GaAs quantum wells grown by metalorganic vapor phase epitaxy on vicinal substrates Appl. Phys. Lett. 99, 072116 (2011); Molecular beam epitaxy grown InGaN multiple quantum well structures optimized using in situ cathodoluminescence J.Using strain analysis on high resolution electron microscopy images and finite element modeling of InGaN quantum wells ͑QWs͒, it is shown that the In composition changes inside the layers can be accurately determined. The analyzed samples were nominally grown with 15%-17% In composition by molecular beam or metalorganic vapor phase epitaxy. Inside these QWs, the In composition is not homogeneous. Finite element modeling strongly suggests that the measured strain corresponds most probably to InN clusters whose size depends on the growth method.

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Section: Approach To the Local In Composition Determinationsupporting

confidence: 66%

Composition fluctuation in InGaN quantum wells made from molecular beam or metalorganic vapor phase epitaxial layers

Ruterana

Kret

Vivet

et al. 2002

Journal of Applied Physics

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“…Coupled problems are common in the real world; description of different mechanical phenomena, such as flow and thermal effects, leads to coupled systems of differential equations. The finite element method (FEM) is widely used to solve such problems, and the most important part of the finite element method algorithm is the procedure for solving the set of linear equations possesing saddle point structure (see [6,10,11]).…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of saddle point problems by block {Gram--Schmidt} orthogonalization

Okulicka-Dłużewska¹,

Smoktunowicz²

2013

Preprint

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Saddle point problems arise in many important practical applications. In this paper we propose and analyze some algorithms for solving symmetric saddle point problems which are based upon the block Gram-Schmidt method. In particular, we prove that the algorithm BCGS2 (Reorthogonalized Block Classical Gram-Schmidt) using Householder Q-R decomposition implemented in floating point arithmetic is backward stable, under a mild assumption on the matrix M . This means that the computed vector z is the exact solution to a slightly perturbed linear system of equations M z = f .

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Nonlinear Problems During Consolidation Process

Cited by 2 publications

References 37 publications

Composition fluctuation in InGaN quantum wells made from molecular beam or metalorganic vapor phase epitaxial layers

Composition fluctuation in InGaN quantum wells made from molecular beam or metalorganic vapor phase epitaxial layers

Numerical solution of saddle point problems by block {Gram--Schmidt} orthogonalization

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