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A shakedown model for high-cycle fatigue (2003)

CRUZ, I. ; ZOUAIN, N.

Oxford, UK : Blackwell Science Ltd

Fatigue & fracture of engineering materials & structures 26 (2003), S. 0

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ISSN: 1460-2695

Source: Blackwell Publishing Journal Backfiles 1879-2005

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes: The phenomenological description of the elastic accommodation occurring in a representative volume is implemented in a high-cycle fatigue criterion. A model for fatigue is directly formulated in the usual continuum mechanics elastic formulation; there, internal variables are introduced to represent the changes in the mesoscopic level of the material. These internal variables do not interact with the macroscopic elastic analysis. The condition for infinite life is the existence of internal variables, independent of time, and rendering admissible stress variations with respect to a fatigue admissibility criterion. The model is applied to experimental data and compared to other criteria.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1046/j.1460-2695.2003.00631.x

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Formulations in rates and increments for elastic-plastic analysis (1988)

Feijoo, R. A. ; Zouain, N.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 26 (1988), S. 2031-2048

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: Minimum principles in velocities, stress rates and plastic strain rates are extended in order to derive formulations for finite increments of displacement, stress and plastic strain fields defining complete numerical methods. Kinematical, statical and mixed principles are developed from a new variational formulation of the elastic-plastic work-hardening constitutive relation.The consequences of this time discretization are discussed independently of any discretization of the continuum. In particular, the incremental formulations derived from extended rate principles account for local elastic unloading and produce stress field approximations complying with equilibrium and plastic admissibility without any additional procedure, at least for piecewise linear yield functions. These properties are not fulfilled when the incremental analysis is based on direct discrete versions of classical rate principles.Finally, FEM approximations are formally introduced and the solution of the resulting finite dimensional quadratic optimization problem is considered.