Accession Number:

AD0263845

Title:

A NUMERICAL SOLUTION FOR THE TRANSIENT STRAIN DISTRIBUTION IN A RECTANGULAR PLATE WITH A PROPAGATING CRACK

Descriptive Note:

Corporate Author:

ILLINOIS UNIV URBANA

Personal Author(s):

Report Date:

1961-09-05

Pagination or Media Count:

1.0

Abstract:

A physical lattice model that approximates a continuous material be reducing it to a series of rigid bars and deformable connections is used to investigate the transient-strain redistribution associated with a crack propagating through a rectangular plate. Equations are developed for equilibrium of the lattice model in terms of displacements using plane-stress conditions. A complete set of equations is given to cover all cases of boundary conditions that ordinarily would be encountered in applications of the lattice model. Results of several examples of statically loaded plates analyzed with the lattice model show excellent agreement when compared with an energy method solution. The differential equations expressing the dynamic behavior of the lattice model are developed, and numerical solution of these equations is discussed. Examples are given of application of these equations to a steady-state condition and the calculation of natural frequencies of lattice models. Several examples of the transient-strain redistribution associated with a crack propagating through a plate in finite jumps are presented. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE