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Thin Hyperelastic sheets of compressible material: Field equations, airy stress function and an application in fracture mechanics

✍ Scribed by Angelo Marcello Tarantino


Book ID
104619775
Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
960 KB
Volume
44
Category
Article
ISSN
0374-3535

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✦ Synopsis


The equations of the equilibrium theory of thin hyperelastic sheets under plane stress condition and the associated Airy stress function are deduced for a compressible Mooney-Rivlin material. Such an analysis is then employed to formulate a nonlinear fracture mechanics problem. By means of an asymptotic procedure, the deformation and stress singular fields in proximity of the crack-tip are computed.

List of symbols

Vectors and vector-valued functions are represented by boldface minuscule letters, tensors and tensor-valued functions by boldface majuscule letters.