rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Two types of compressible isotropic neo-Hookean material models
  name:
    name part: Korobeynikov, Sergey
    role:
      role term: creator
    role:
      role term: author
  name:
    name part: Larichkin, Alexei.
  name:
    name part: Neff, Patrizio.
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2026
    edition: 1st ed. 2026.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xi, 101 pages) : illustrations (chiefly color).
  abstract: This book provides readers with a deep understanding of the principles for generating formulations of compressible isotropic hyperelastic material models based on formulations of incompressible material models. The reference high-performance incompressible isotropic hyperelastic material model is Ogden's model, for which the elastic energy is generally represented as the sum of elemental energies based on strain tensors from the Doyle-Ericksen family. For the sake of transparency, the study is confined to considering the elastic energy only for one term of this sum based on the Finger strain tensor corresponding to the well-known neo-Hookean material model. The book presents a systematic study of the performance of two known types of compressible generalization of the incompressible neo-Hookean material model. The first type of generalization is based on the development of volumetric-isochoric neo-Hookean models and involves the additive decomposition of the elastic energy into volumetric and isochoric parts. The second, simpler type of generalization, is based on the development of mixed neo-Hookean models that do not use this decomposition. Theoretical studies of model performance and simulations of some homogeneous deformations have shown that when using "good" volumetric functions, mixed and volumetric-isochoric models show similar performance in applications and have physically reasonable responses in extreme states, which is convenient for theoretical studies. However, compared to volumetric-isochoric models, mixed models allow the use of a wider set of volumetric functions with physically reasonable responses in extreme states. Another feature of mixed models is that they allow for simpler expressions for stresses and tangent stiffness tensors. This book is useful both for novice researchers in developing hyperelastic equations for compressible materials and for experienced researchers by providing a brief overview of methods for generating compressible hyper…
  table of contents: Introduction -- Preliminaries -- Constitutive relations for neo-Hookean isotropic hyperelastic material models -- Some volumetric functions and their properties -- Constitutive inequalities for neo-Hookean materials -- Testing neo-Hookean materials in homogeneous deformations -- Concluding remarks.
  note: Sergey Korobeynikov, Alexey Larichkin, Patrizio Neff.
  subject:
    topic: Continuum mechanics
  subject:
    topic: Mechanics, Applied
  subject:
    topic: Continuum Mechanics
  subject:
    topic: Engineering Mechanics
  subject:
    topic: Mécanique des milieux continus
  subject:
    topic: Mécanique appliquée
  classification: QA808.2 .K67 2026
  classification: 531.7
  related item:
    title info:
      title: Two Types of Compressible Isotropic Neo-Hookean Material Models
    name:
      name part: Korobeynikov, Sergey
    origin info:
      publisher: Cham : Springer,c2025
  related item:
    identifier: (OCoLC)1534176959
  related item:
    title info:
      title: SpringerBriefs in applied sciences and technology
      part name: Continuum mechanics
  identifier: 9783032060501 (electronic bk.)
  identifier: 3032060508
  identifier: 9783032060495
  identifier: 3032060494
  location:
    physical location: POD
  record info:
    record content source: SFB
    record creation date: 260128
    record change date: 20260323120207.8
    record identifier: in00005729118
    language of cataloging:
      language term: eng