Dislocation Distribution Function of Two Fracture Dynamics Problems Concerning Aluminum Alloys

Nian Chun Lü; Yun Hong Cheng; Cheng Jin; Yi Le Chen

doi:10.4028/www.scientific.net/MSF.575-578.1008

Paper Titles

Topology Optimization of Orthotropic Material Structure
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Investigating the Mechanical Property and Rolling Contact Fatigue Life of Diamond-Like Carbon Films on Bearing Steel
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Finite-Element Analysis of Thermal Stresses in Diamond Film Deposition on Mo Substrate with Ti Interlayer
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Application of Physical Simulation for Developing New Steel Types
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Dislocation Distribution Function of Two Fracture Dynamics Problems Concerning Aluminum Alloys
p.1008

A New Optimization Algorithm for Inverse Analysis to Material Parameters
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Nonlinear Bending of the FGM Circular Plates with Temperature-Dependent Properties
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Influence of Ceramic Aggregate on the Microstructure of Filtration Materials
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The Effect of Nonequilibrium Structure State on the Creep and Superplastic Behaviour of Materials
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HomeMaterials Science ForumMaterials Science Forum Vols. 575-578Dislocation Distribution Function of Two Fracture...

Dislocation Distribution Function of Two Fracture Dynamics Problems Concerning Aluminum Alloys

Abstract:

By the approaches of the theory of complex functions, dynamic propagation problems on the surfaces of mode I crack subjected to unit-step loads and instantaneous impulse loads located at the origin of the coordinates were studied for Aluminum alloys, respectively. Analytical solutions to stresses, displacements, dynamic stress intensity factors and dislocation distribution functions are gained by the methods of self-similar functions. The problems considered can be very facilely transformed into Riemann-Hilbert problem and their closed solutions are obtained rather straightforward by Muskhelishvili’s measure.