Closed form solutions of the differential equations governing the plastic fracture field in a power-law hardening material with low strain-hardening exponent

 
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1990 (EN)
Closed form solutions of the differential equations governing the plastic fracture field in a power-law hardening material with low strain-hardening exponent (EN)

Panayotounakos, DE (EN)
Markakis, M (EN)

N/A (EN)

In this paper closed form solutions for the evaluation of the stress and strain-fields are estimated for a power-law hardening, plastically incompressible material, cracked under plane-strain conditions. A convenient decoupling methodology, concerning a strongly non-linear ordinary differential system given by Rice and Rosengren [1], leads to a modified higher-order non-linear differential equation which for the case of low strain-hardening behaviour, using appropriate analytical treatments, is integrated in a closed form. Applications of the derived solutions for low hardening exponents yield results which are in excellent agreement with those derived numerically by other investigators. The solutions obtained herein cover a large class of problems in the mathematical theory of plasticity and fracture mechanics, and may be proved powerful in application . © 1990 Springer-Verlag. (EN)

journalArticle

Plastic Fracture Field (EN)
Fracture Mechanic (EN)
Linear Differential Equation (EN)
Materials (EN)
Stresses--Analysis (EN)
Strain Hardening (EN)
Strain (EN)
Power-Law Hardening Material (EN)
Closed Form Solution (EN)
Fracture Mechanics (EN)
Mathematical Techniques--Differential Equations (EN)
Plasticity (EN)
Large Classes (EN)
Higher Order (EN)
Power Law (EN)
Low Strain-Hardening Exponent (EN)
Differential Equation (EN)
Rice-Rosengren Equations (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Ingenieur-Archiv (EN)

1990


Springer-Verlag (EN)



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