A Linear Matching Method for Shakedown Analysis

Ponter, A. R. S.; Chen, Haofeng

doi:10.1007/978-3-7091-2558-8_13

Cited by 9 publications

(4 citation statements)

References 10 publications

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“…These theorems are well known in the literature for a wide class of constitutive laws, like perfect plasticity, linearly and nonlinearly hardening materials, either with a stress-space bounding surface, or with a hardening saturation surface, and so on. It is not the purpose of the present paper to review this literature; it will suffice to mention a few representative papers and books with their reference lists, namely: Koiter (1960), Débordes and Nayroles (1976), Halphen (1979), Martin (1975), Zarka and Casier (1979), Gokhfeld and Cherniavsky (1980), Ceradini (1980), Kö nig and Maier (1981), Polizzotto (1982Polizzotto ( , 1984bPolizzotto ( , 1993, Ponter and Karadenitz (1985), Kö nig (1987), Stein et al (1992Stein et al ( , 1993, Stumpf (1993), Nayroles and Weichert (1993), Kamenjarzh andMerzljakov (1994), Mró z et al (1995), Pham (1996Pham ( , 2003Pham ( , 2005, Maier et al (2000), Maier (2001), Ponter (2002), Maier (2000, 2002), Feng and Sun (2007).…”

Section: The Shakedown Problemmentioning

confidence: 98%

Shakedown theorems for elastic–plastic solids in the framework of gradient plasticity

Polizzotto

2008

International Journal of Plasticity

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Section: The Shakedown Problemmentioning

confidence: 98%

Shakedown theorems for elastic–plastic solids in the framework of gradient plasticity

Polizzotto

2008

International Journal of Plasticity

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“…The Linear Matching Method [19,20] is such a direct method and it provides a numerical procedure for the calculation of the shakedown and ratchet limits [21]. A number of different direct methods exist for the calculation of shakedown limits, including the Mathematical Programming Method [22], Nonlinear Superposition Method [23] and Repeated Elastic Methods [24].…”

Section: Linear Matching Methodsmentioning

confidence: 99%

A novel simulation for the design of a low cycle fatigue experimental testing programme

Beesley

Chen

Hughes

2017

Computers & Structures

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This paper proposes an innovative concept for the design of an experimental testing programme suitable for causing Low Cycle Fatigue crack initiation in a bespoke complex notched specimen. This technique is referred to as the Reversed Plasticity Domain Method and utilises a novel combination of the Linear Matching Method and the Bree Interaction diagram. This is the first time these techniques have been combined in this way for the calculation of the design loads of industrial components. This investigation displays the capabilities of this technique for an industrial application and demonstrates its key advantages for the design of an experimental testing programme for a highly complex test specimen

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“…It should be mentioned that a variety of alternative methods has been developed in recent years. For example, in , an eigenmode method has been proposed, whereas the so‐called linear matching method has been suggested in . Further, a bipotential approach has been invented in , and a homogenized method has been examined, for example, in .…”

Section: Introductionmentioning

confidence: 99%

A selective strategy for shakedown analysis of engineering structures

Simon

Kreimeier

Weichert

2013

Numerical Meth Engineering

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SUMMARYDetermining the load‐bearing capacity of engineering structures is essential for their design. In the case of varying thermo‐mechanical loading beyond the elastic limit, the statical shakedown analysis constitutes a particularly suitable tool for this. The application of the statical shakedown theorem, however, leads to a nonlinear convex optimization problem, which is typically characterized by large numbers of variables and constraints. In the present work, this optimization problem is solved by a primal–dual interior‐point algorithm, which shows a remarkable performance due to its problem‐tailored formulation. Nevertheless, the solution procedure remains still a demanding task from computational point of view. Thus, the aim of this paper is to tackle the task of solving large‐scale problems by use of a new so‐called selective algorithm. This algorithm detects automatically the plastically most affected zones within the structure, which have the highest influence on the solution. The entire system is then reduced to a substructure consisting of these zones, based upon which a new optimization problem can be set up, which is solved with significantly less effort. Consequently, the running time decreases drastically, as is shown by application to numerical examples from the field of power plant engineering. Copyright © 2013 John Wiley & Sons, Ltd.

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A Linear Matching Method for Shakedown Analysis

Cited by 9 publications

References 10 publications

Shakedown theorems for elastic–plastic solids in the framework of gradient plasticity

Shakedown theorems for elastic–plastic solids in the framework of gradient plasticity

A novel simulation for the design of a low cycle fatigue experimental testing programme

A selective strategy for shakedown analysis of engineering structures

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