Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Miscellanea Vol. 12, No. 43 (2018)

Continuum damage modeling through theoretical and experimental pressure limit formulas

Author and affiliation details
  • Fatima Majid Corresponding author University of Hassan II, National Superior School of Electricity and Mechanics Casablanca (ENSEM), LCCMMS, Morocco ORCID iD0000-0001-8909-8232 majidfatima9@gmail.com
  • Mohamed Elghorba University of Hassan II, National Superior School of Electricity and Mechanics Casablanca (ENSEM), LCCMMS, Morocco
DOI
10.3221/IGF-ESIS.43.05
Pages
Pages 79-89
Published
Published inVol. 12, No. 43 (2018)Go to the issue

Abstract

In this paper, we developed a mathematical modeling to represent the damage of thermoplastic pipes. On the one hand, we adapted the theories of the rupture pressure to fit the High Density Polyethylene (HDPE) case. Indeed, the theories for calculating the rupture pressure are multiple, designed originally for steels and alloys. For polymer materials, we have found that these theories can be adapted using a coefficient related to the nature of the studied material. The HDPE is characterized by two important values of pressure, deduced from the ductile form of the internal pressure’s evolution until burst. For this reason, we have designed an alpha coefficient taking into account these two pressures and giving a good approximation of the evolution of the experimental burst pressures through the theoretically corrected ones, using Faupel’s pressure formula. Then, we can deduce the evolution of the theoretical damage using the calculated pressures. On the other hand, two other mathematical models were undertaken. The first one has given rise to an adaptive model referring to an expression of the pressure as a function of the life fraction, the characteristic pressures and the critical life fraction. The second model represents a continuum damage model incorporating the pressure equations as a function of the life fraction and based on the burst pressure’s static damage model. These models represent important tools for industrials to assess the failure of thermoplastic pipes and proceed quick checks.

Keywords

How to cite

APA

Majid, F., & Elghorba, M. (2017). Continuum damage modeling through theoretical and experimental pressure limit formulas. Fracture and Structural Integrity, 12(43), Pages 79–89. https://doi.org/10.3221/IGF-ESIS.43.05

IEEE

F. Majid and M. Elghorba, “Continuum damage modeling through theoretical and experimental pressure limit formulas,” Fracture and Structural Integrity, vol. 12, no. 43, pp. Pages 79–89, 2017, doi: 10.3221/IGF-ESIS.43.05.

MLA

Majid, Fatima, and Mohamed Elghorba. “Continuum damage modeling through theoretical and experimental pressure limit formulas.” Fracture and Structural Integrity, vol. 12, no. 43, 2017, pp. Pages 79–89. https://doi.org/10.3221/IGF-ESIS.43.05.

Chicago

Majid, Fatima, and Mohamed Elghorba. 2017. “Continuum damage modeling through theoretical and experimental pressure limit formulas.” Fracture and Structural Integrity 12 (43): Pages 79–89. https://doi.org/10.3221/IGF-ESIS.43.05.

Harvard

Majid, F. and Elghorba, M. (2017) ‘Continuum damage modeling through theoretical and experimental pressure limit formulas’, Fracture and Structural Integrity, 12(43), pp. Pages 79–89. doi: 10.3221/IGF-ESIS.43.05.

Vancouver

Majid F, Elghorba M. Continuum damage modeling through theoretical and experimental pressure limit formulas. Fracture and Structural Integrity. 2017;12(43):Pages 79-89. doi:10.3221/IGF-ESIS.43.05

BibTeX

@article{majid2017, author = {Majid, Fatima and Elghorba, Mohamed}, title = {Continuum damage modeling through theoretical and experimental pressure limit formulas}, journal = {Fracture and Structural Integrity}, year = {2017}, volume = {12}, number = {43}, pages = {Pages 79--89}, doi = {10.3221/IGF-ESIS.43.05}, url = {https://doi.org/10.3221/IGF-ESIS.43.05}, issn = {1971-8993} }

RIS

TY - JOUR AU - Majid, Fatima AU - Elghorba, Mohamed TI - Continuum damage modeling through theoretical and experimental pressure limit formulas JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2017 DA - 2017/12/28 VL - 12 IS - 43 SP - Pages 79 EP - 89 DO - 10.3221/IGF-ESIS.43.05 UR - https://doi.org/10.3221/IGF-ESIS.43.05 SN - 1971-8993 ER -

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