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Upper and lower bound theorems of limit analyses have been presented in part I of the paper. Part II starts with the finite element discretization of these theorems and demonstrates how both can be combined in a primal–dual optimization problem. This recently proposed numerical method is used to guide the development of a new class of closed-form limit loads for circumferential defects, which show that only large defects contribute to plastic collapse with a rapid loss of strength with increasing crack sizes. The formulae are compared with primal–dual FEM limit analyses and with burst tests. Even closer predictions are obtained with iterative limit load solutions for the von Mises yield function and for the Tresca yield function. Pressure loading of the faces of interior cracks in thick pipes reduces the collapse load of circumferential defects more than for axial flaws. Axial defects have been treated in part I of the paper.
Mathematik im ingenieurwissenschaftlichen Bachelorstudium : Lösung der Übungs- und Klausuraufgaben
(2010)
ComputerMathematik mit Maple
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Unitary Operator
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Self-Adjoint Operator
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Projection
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Operator
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Density Operator
(2009)
On the Vanishing Displacement Current Limit for Eddy-Current Problems / Quell, P. ; Reißel, M.
(1996)
Über die Äquivalenz zweier Transmissionsrandwertprobleme aus der elektromagnetischen Streutheorie
(1994)
Magnetotomography and Electric Currents in a Fuel Cell / Lustfeld, H. ; Reißel, M. ; Steffen, B.
(2009)
A novel scheme for precise diagnostics and effective stabilization of currents in a fuel cell stack
(2010)
Shakedown analysis of two dimensional structures by an edge-based smoothed finite element method
(2010)