Geodesic
Numerical investigation of large deformations of hyperelastic solids. III. Statements of problem and solution algorithms
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 3, pp. 108-120

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The current article is the third part of a research work cycle “Numerical investigation of large deformations of hyperelastic solids”. The article describes the design algorithms for 3D-solids of hyperelastic materials on the basis of consecutive stress method. Different variants of problem statement are regarded. An algorithm is presented for investigating the deformation of hyperelastic low-compressible materials.
Keywords: large deformations, hyperelasticity, strain energy potential, statement of problem, algorithm. 
@article{UZKU_2009_151_3_a8,
     author = {A. I. Golovanov and Yu. G. Konoplev and L. U. Sultanov},
     title = {Numerical investigation of large deformations of hyperelastic {solids.~III.} {Statements} of problem and solution algorithms},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {108--120},
     publisher = {mathdoc},
     volume = {151},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_3_a8/}
}
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A. I. Golovanov; Yu. G. Konoplev; L. U. Sultanov. Numerical investigation of large deformations of hyperelastic solids. III. Statements of problem and solution algorithms. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 3, pp. 108-120. http://geodesic.mathdoc.fr/item/UZKU_2009_151_3_a8/