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A constitutive model for material growth and its application to three-dimensional finite element analysis

✍ Scribed by S Imatani; G.A Maugin

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
262 KB
Volume
29
Category
Article
ISSN
0093-6413

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✦ Synopsis

This paper describes a material model, in which the materials under consideration grow up in a particular direction while re-organizing themselves to the surroundings. The structural reorganization is modeled as the rearrangement of anisotropy. Two models are proposed; one is that the anisotropic vector is embedded just as in fiber-reinforced materials, and the other is that the vector behaves like a float. In order to apply the present model to boundary-value problems, a three-dimensional finite element formulation is obtained with reference to the total-Lagrangian approach.

Here we evaluate the performance of the model in terms of anisotropic growth; (a) adaptation behavior of a quasiisotropy in the initial state, and (b) monotonic growth in helical direction.

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