New PDF release: Dynamics of Fracture

By Nikita Morozov, Yuri Petrov (auth.)

ISBN-10: 3540697128

ISBN-13: 9783540697121

ISBN-10: 3642083951

ISBN-13: 9783642083952

In this booklet a brand new phenomenological method of brittle medium fracture initiation below surprise pulses is developped. It presents a chance to estimate fracture of media with and with no macrodefects. A qualitative clarification is therefore acquired for a few mostly very important results of high-speed dynamic fracture that can't be clarified in the framework of prior methods. it truly is attainable to use this new technique to unravel utilized difficulties of disintegration, erosion, and dynamic energy choice of structural fabrics. experts can use the equipment defined to figure out severe features of dynamic energy and optimum potent fracture stipulations for inflexible our bodies. This ebook is usually used as a unique academic path on deformation of fabrics and buildings, and fracture mechanics.

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Example text

According to Griffith's classical scheme we compose an energetical balance equation. We have ~II '" c. An estimation for ~(A - U) is also known ([17]) ~(A - U) '" c27r / a . It is evident that we would not able to find critical efforts from the equality ~(A - U) = ~II. Let us study two elastic plates, weakened by a rectilinear crack and a lune of small apex angle 0;. ~; C 1 , C 2 are coefficients characterising the stress-state intensity; and r, (J are coordinates near the crack tip. N. , Dynamics of Fracture © Springer-Verlag Berlin Heidelberg 2000 25 In the second case the roots are separated (1) (Tij GII fII (B) = ----;;u ij(l) (2) GIl fII (B) + ...

Then, the corresponding criterion can be written in the following form J t a(t') dt' :::; U1 == acT. 9) t-r Here T is the minimal time, necessary for a local threshold pulse with a duration that will cause a macrofracture. For media with sharp concentrators, such as cracks, the mean values of rupture stress on the structural interval are examined. 5). 10) coincides with the force criterion of Neuber~Novozhilov. The received limit condition practically coincides with the already introduced structural~temporal criterion.

5). 10) coincides with the force criterion of Neuber~Novozhilov. The received limit condition practically coincides with the already introduced structural~temporal criterion. 5). 10), the dynamic strength of a brittle medium can be evaluated as a calculated characteristic. Moreover, it is natural to expect that both the critical rupture stress of 'intact' continuum and the fracture viscosity of cracked domains will show a dependence on parameters of the exterior action, including the rate of loading.

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Dynamics of Fracture by Nikita Morozov, Yuri Petrov (auth.)


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