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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Bifurcation and Stability of Dissipative Systems

Bifurcation and Stability of Dissipative Systems

Nguyen, Q. S.

Paperback

Series: CISM International Centre for Mechanical Sciences, Book 327

Technology & EngineeringPhysics

ISBN10: 3211824375
ISBN13: 9783211824375
Publisher: Springer Nature
Published: Jan 12 1993
Pages: 291
Weight: 1.06
Height: 0.63 Width: 6.69 Depth: 9.61
Language: English
The first theme concerns the plastic buckling of structures in the spirit of Hill's classical approach. Non-bifurcation and stability criteria are introduced and post-bifurcation analysis performed by asymptotic development method in relation with Hutchinson's work. Some recent results on the generalized standard model are given and their connection to Hill's general formulation is presented. Instability phenomena of inelastic flow processes such as strain localization and necking are discussed. The second theme concerns stability and bifurcation problems in internally damaged or cracked colids. In brittle fracture or brittle damage, the evolution law of crack lengths or damage parameters is time-independent like in plasticity and leads to a similar mathematical description of the quasi-static evolution. Stability and non-bifurcation criteria in the sense of Hill can be again obtained from the discussion of the rate response.

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