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Rate of convergence for the iterative approach in elastic-plastic analysis of continua (1973)

Yamamoto, Yoshiyuki

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 7 (1973), S. 497-508

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: In connection with the finite element method, the iterative approach has been commonly used for the analysis of elastic-plastic continua. The rate of convergence of iteration is investigated in the present paper; it depends largely upon the ratio of tangent modulus to Young's modulus, accuracy of the first guess for the exact solution and occurrence of unloading. In the case of finite displacements the rate of convergence is closely related to the stability characteristics of the continua in the sense of Shanley.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/nme.1620070408

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