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A radial point interpolation meshless method extended with an elastic rate-independent continuum damage model for concrete materials

dr. ir. Behzad Vasheghani Farahani (UGent) , J. Belinha, F. M. Andrade Pires and Antonio J. M. Ferreira
(2018) MECHANICS OF ADVANCED MATERIALS AND STRUCTURES. 25(10). p.855-867
Author
Organization
Abstract
An advanced discretization meshless technique, the radial point interpolation method (RPIM), is applied to analyze concrete structures using an elastic continuum damage constitutive model. Here, the theoretical basis of the material model and the computational procedure are fully presented. The plane stress meshless formulation is extended to a rate-independent damage criterion, where both compressive and tensile damage evolutions are established based on a Helmholtz free energy function. Within the return-mapping damage algorithm, the required variable fields, such as the damage variables and the displacement field, are obtained. This study uses the Newton-Raphson nonlinear solution algorithm to achieve the nonlinear damage solution. The verification, where the performance is assessed, of the proposed model is demonstrated by relevant numerical examples available in the literature.
Keywords
Continuum damage mechanics, concrete material, displacement enforcement, return-mapping algorithm, meshless method, RPIM, RETURN-MAPPING ALGORITHM, PLASTICITY, FRACTURE, PLATES

Citation

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MLA
Vasheghani Farahani, dr. ir. Behzad, et al. “A Radial Point Interpolation Meshless Method Extended with an Elastic Rate-Independent Continuum Damage Model for Concrete Materials.” MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, vol. 25, no. 10, 2018, pp. 855–67, doi:10.1080/15376494.2017.1308593.
APA
Vasheghani Farahani, dr. ir. B., Belinha, J., Andrade Pires, F. M., & Ferreira, A. J. M. (2018). A radial point interpolation meshless method extended with an elastic rate-independent continuum damage model for concrete materials. MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 25(10), 855–867. https://doi.org/10.1080/15376494.2017.1308593
Chicago author-date
Vasheghani Farahani, dr. ir. Behzad, J. Belinha, F. M. Andrade Pires, and Antonio J. M. Ferreira. 2018. “A Radial Point Interpolation Meshless Method Extended with an Elastic Rate-Independent Continuum Damage Model for Concrete Materials.” MECHANICS OF ADVANCED MATERIALS AND STRUCTURES 25 (10): 855–67. https://doi.org/10.1080/15376494.2017.1308593.
Chicago author-date (all authors)
Vasheghani Farahani, dr. ir. Behzad, J. Belinha, F. M. Andrade Pires, and Antonio J. M. Ferreira. 2018. “A Radial Point Interpolation Meshless Method Extended with an Elastic Rate-Independent Continuum Damage Model for Concrete Materials.” MECHANICS OF ADVANCED MATERIALS AND STRUCTURES 25 (10): 855–867. doi:10.1080/15376494.2017.1308593.
Vancouver
1.
Vasheghani Farahani dr. ir. B, Belinha J, Andrade Pires FM, Ferreira AJM. A radial point interpolation meshless method extended with an elastic rate-independent continuum damage model for concrete materials. MECHANICS OF ADVANCED MATERIALS AND STRUCTURES. 2018;25(10):855–67.
IEEE
[1]
dr. ir. B. Vasheghani Farahani, J. Belinha, F. M. Andrade Pires, and A. J. M. Ferreira, “A radial point interpolation meshless method extended with an elastic rate-independent continuum damage model for concrete materials,” MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, vol. 25, no. 10, pp. 855–867, 2018.
@article{01H084KCJ68F4ZQCR4CWP38WTS,
  abstract     = {{An advanced discretization meshless technique, the radial point interpolation method (RPIM), is applied to analyze concrete structures using an elastic continuum damage constitutive model. Here, the theoretical basis of the material model and the computational procedure are fully presented. The plane stress meshless formulation is extended to a rate-independent damage criterion, where both compressive and tensile damage evolutions are established based on a Helmholtz free energy function. Within the return-mapping damage algorithm, the required variable fields, such as the damage variables and the displacement field, are obtained. This study uses the Newton-Raphson nonlinear solution algorithm to achieve the nonlinear damage solution. The verification, where the performance is assessed, of the proposed model is demonstrated by relevant numerical examples available in the literature.}},
  author       = {{Vasheghani Farahani, dr. ir. Behzad and  Belinha, J. and  Andrade Pires, F. M. and  Ferreira, Antonio J. M.}},
  issn         = {{1537-6494}},
  journal      = {{MECHANICS OF ADVANCED MATERIALS AND STRUCTURES}},
  keywords     = {{Continuum damage mechanics,concrete material,displacement enforcement,return-mapping algorithm,meshless method,RPIM,RETURN-MAPPING ALGORITHM,PLASTICITY,FRACTURE,PLATES}},
  language     = {{eng}},
  number       = {{10}},
  pages        = {{855--867}},
  title        = {{A radial point interpolation meshless method extended with an elastic rate-independent continuum damage model for concrete materials}},
  url          = {{http://doi.org/10.1080/15376494.2017.1308593}},
  volume       = {{25}},
  year         = {{2018}},
}
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