---
res:
  bibo_abstract:
  - <jats:p>Carbon fiber-reinforced plastics (CFRPs) have become increasingly significant
    in recent decades due to their remarkable mechanical properties and lightweight
    nature. This study aims to advance the understanding and simulation of CFRP behavior
    through the development of a hyperelastic-plastic-damage homogenization method
    combined with mean-field theory. The material responses of both the fiber and
    matrix are modeled using strain energy functions that account for damage evolution,
    while a complete linearization of the homogenization process is derived to ensure
    the consistent implementation of the Newton–Raphson iteration scheme in large
    deformation simulations. The innovative aspect of this work lies in the constitutive
    linearization for the hyperelastic-plastic-damage formulation within a mean-field
    homogenization framework, providing an efficient Newton algorithm for modeling
    the nonlinear behavior of CFRP. A failure criterion for the hyperelastic model
    of fibers is introduced, along with a damage saturation variable in rate form
    for the matrix, effectively capturing damage evolution. Through discrete formulations
    for the homogenization, the proposed model’s capability is demonstrated via three
    numerical examples and validated against experimental investigations, proving
    its effectiveness and reliability in simulating CFRP damage.</jats:p>@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Yingjie
      foaf_name: Zhan, Yingjie
      foaf_surname: Zhan
      foaf_workInfoHomepage: http://www.librecat.org/personId=93591
  - foaf_Person:
      foaf_givenName: Ismail
      foaf_name: Caylak, Ismail
      foaf_surname: Caylak
  - foaf_Person:
      foaf_givenName: Richard
      foaf_name: Ostwald, Richard
      foaf_surname: Ostwald
      foaf_workInfoHomepage: http://www.librecat.org/personId=106876
    orcid: 0000-0003-2147-8444
  - foaf_Person:
      foaf_givenName: Rolf
      foaf_name: Mahnken, Rolf
      foaf_surname: Mahnken
      foaf_workInfoHomepage: http://www.librecat.org/personId=335
  - foaf_Person:
      foaf_givenName: Enrico
      foaf_name: Barth, Enrico
      foaf_surname: Barth
  - foaf_Person:
      foaf_givenName: Eckart
      foaf_name: Uhlmann, Eckart
      foaf_surname: Uhlmann
  bibo_doi: 10.1177/10812865261420809
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1081-2865
  - http://id.crossref.org/issn/1741-3028
  dct_language: eng
  dct_publisher: SAGE Publications@
  dct_title: A fully implicit mean-field damage formulation with consistent linearization
    at large deformations@
...
