Download e-book for iPad: Anisotropic Elasticity: Theory and Applications (Oxford by Thomas C. T. Ting

By Thomas C. T. Ting

ISBN-10: 0195074475

ISBN-13: 9780195074475

Anisotropic Elasticity deals for the 1st time a accomplished survey of the research of anisotropic fabrics which can have as much as twenty-one elastic constants. concentrating on the mathematically based and technically robust Stroh formalism as a way to figuring out the topic, the writer tackles a vast variety of key issues, together with antiplane deformations, Green's features, pressure singularities in composite fabrics, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric fabrics, between many others. good written, theoretically rigorous, and virtually orientated, the ebook might be welcomed via scholars and researchers alike.

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Additional info for Anisotropic Elasticity: Theory and Applications (Oxford Engineering Science Series)

Example text

The method for developing the crack profiles in Figure 19 follows the same procedure described earlier for ductile fracture. The crack growth condition will be assumed to follow a state of critical strain energy density accumulation. The hysteresis energy density (Ll WILl V)j, j = 1,2, ... , n, ahead of the crack for each cycle of loading is counted and an increment of crack growth is assumed to occur when the critical condition in equation (52) is fulfilled. The quantity LlS 10 equation (54) for each increment of crack growth is found from (55) which represents the area underneath the strain energy density versus radial distance curve, Figure 20.

Data interpretation. The fundamental physical principles that govern material failure have not been well-established over the years. The value of material and fracture testing is uncertain where physical interpretation of data cannot be made possible. More emphasis must be placed on a combination of theory and experimentation. Otherwise, no confidence can be placed on judging the reliability of new results. A frequent problem of interest is the failure of specimens under combined loading where both normal stress a and shear stress Tare present.

Only when O"e V 'lTa ceases to change for h sufficiently large is the quantity K Ie = O"e V 'lTa a measure of the fracture toughness of the material. In this case, the excess available energy produces fracture surfaces that are predominantly flat. As h is decreased, O"c V 'lTa looses its physical meaning and should no longer be referred as fracture toughness or stress intensity factor. The fact that ductile fracture is accompanied by an increase in the load carrying capacity of the specimen should not be interpreted as a change in (j) (j) W 0::: I- (j) o Almost All Shear Fracture Mixed Shear And Flat Fracture Almost All Flat Fracture THICKNESS h Figure 13.

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Anisotropic Elasticity: Theory and Applications (Oxford Engineering Science Series) by Thomas C. T. Ting

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