Effects of Microscopic Cracks on Elastic Solids


Sorin Mitran

It is well known in mechanical engineering that microscopic cracks significantly reduce the strength of solid materials. This is typically accounted for by empiric coefficients. I am carrying out computations to determine such coefficients from first principles. The equations of elasticity are solved in a solid. Near a crack they provide the mean force field felt by the solid's atoms. A molecular dynamics computation follows the enlargement of the crack. The effect of the crack upon the solid is reflected through local modification of constitutive relations.


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