摘要:

AbstractStarting from the principles of the two‐phase‐flow theory the relaxation process of an aerosol with very small polydisperse solid particles behind shock waves has been studied. Different size distributions of the particles in the initial state have been assumed. The overall volume concentration of the particles should be small. Therefore the exchange processes between the phases have a weak influence on the gas phase, only. For the momentum and heat transfer processes molecular effects have been taken into account by simple Knudsen number corrections. Different computations show the time‐dependent deformation of the particle size distribution function during the aerosol relaxation behind shock

ISSN:0044-2267    

DOI:10.1002/zamm.19830630802

出版商:WILEY‐VCH Verlag    

年代:1983

数据来源: WILEY

摘要:

AbstractSH motion is triggered by the nonuniform extension of a crack under an applied, general body force. The net incident force‐field along the fault plane converts into an incident influence which plays an important role in the source mechanism. With subsonic extension, fault plane perturbations ahead of a foremost crack‐emitted wavefront naturally originate entirely at the applied force. Nonetheless, they contribute to the incident influence everywhere behind such a wavefront. For a trailing mode of reception preceding the crack, repeated inversion of a governing inhomogeneous integral equation yields a displacement gradient that behaves singularly near the advancing crack edge. On invoking a Barenblatt type criterion, this singularity gets eliminated, essentially, because of the incident influence. A nonlinear integral equation governing that particular crack edge results. Another nonlinear integral equation can be formulated for an arrested advance. Besides the desingularized displacement gradient derived outside the crack, the displacement difference across the crack faces is also determined. A vital question throughout concerns the availability of bounded quantit

ISSN:0044-2267    

DOI:10.1002/zamm.19830630803

出版商:WILEY‐VCH Verlag    

年代:1983

数据来源: WILEY

摘要:

AbstractThere is a degenerate critical point (usually elliptic or hyperbolic umbilic) of the potential function of semisymmetric conservative systems in the case of a two‐fold branching point. The bifurcation set of a standard form is known in both cases in a parametrized form. In an imperfection‐sensitivity examination the relevant critical point is regarded as the first one reached by a continuously changing load, starting from a stable equilibrium state. The coordinate system of the imperfection‐sensitivity surface is transformed so that it coincides with a part of the bifurcation set of the standard form. Analysis of this reveals imperfections which decrease the critical load. Algorithms are given to compute these decreases. Finally the different possible forms of the equilibrium paths are ske

ISSN:0044-2267    

DOI:10.1002/zamm.19830630804

出版商:WILEY‐VCH Verlag    

年代:1983

数据来源: WILEY

摘要:

AbstractIn this paper we combine Newton methods, mesh refinement strategies, and discrete Newton methods to develop an efficien process for approximating the solutions of operator equations.

ISSN:0044-2267    

DOI:10.1002/zamm.19830630805

出版商:WILEY‐VCH Verlag    

年代:1983

数据来源: WILEY

摘要:

AbstractBei der Betrachtung konvexer Optimierungsprobleme mit Datenfehlern interessieren Abschätzungen für die Menge der Optimalpunkte und für die Menge der optimalen Zielfunktionswerte. Berücksichtigt man die Datenfehler durch Intervallkoeffizienten im konvexen Optimierungsproblem, dann gestattet die intervallmathematische Behandlung, die genannten Lösungsmengen durch Intervalle (bzw. Intervallvektoren) einzuschränken. Meist werden dabei nur Intervall‐Oberhüllen bestimmt. In der Arbeit werden Bedingungen bei speziellen Optimierungsproblemen angegeben, unter denen sogar die Intervallhüllen (optimalen Intervalleinschließungen) bestimmt werden können. Ein numerische Beispiel illustriert die erhaltenen

ISSN:0044-2267    

DOI:10.1002/zamm.19830630806

出版商:WILEY‐VCH Verlag    

年代:1983

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19830630807

出版商:WILEY‐VCH Verlag    

年代:1983

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19830630808

出版商:WILEY‐VCH Verlag    

年代:1983

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19830630809

出版商:WILEY‐VCH Verlag    

年代:1983

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19830630812

出版商:WILEY‐VCH Verlag    

年代:1983

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19830630815

出版商:WILEY‐VCH Verlag    

年代:1983

数据来源: WILEY