### Abstract

The need for accurate material models to simulate the deformation, damage and failure of polymer matrix composites under impact conditions is becoming critical as these materials are gaining increased use in the aerospace and automotive communities. The aerospace community has identified several key capabilities which are currently lacking in the available material models in commercial transient dynamic finite element codes. To attempt to improve the predictive capability of composite impact simulations, a next generation material model is being developed for incorporation within the commercial transient dynamic finite element code LS-DYNA. The material model, which incorporates plasticity, damage and failure, utilizes experimentally based tabulated input to define the evolution of plasticity and damage and the initiation of failure as opposed to specifying discrete input parameters such as modulus and strength. The plasticity portion of the orthotopic, threedimensional, macroscopic composite constitutive model is based on an extension of the Tsai-Wu composite failure model into a generalized yield function with a nonassociative flow rule. For the damage model, a strain equivalent formulation is used to allow for the uncoupling of the deformation and damage analyses. For the failure model, a tabulated approach is utilized in which a stress or strain based invariant is defined as a function of the location of the current stress state in stress space to define the initiation of failure. Failure surfaces can be defined with any arbitrary shape, unlike traditional failure models where the mathematical functions used to define the failure surface impose a specific shape on the failure surface. In the current paper, the complete development of the failure model is described and the generation of a tabulated failure surface for a representative composite material is discussed.

Original language | English (US) |
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Title of host publication | 32nd Technical Conference of the American Society for Composites 2017 |

Publisher | DEStech Publications Inc. |

Pages | 1315-1330 |

Number of pages | 16 |

Volume | 2 |

ISBN (Electronic) | 9781510853065 |

State | Published - Jan 1 2017 |

Event | 32nd Technical Conference of the American Society for Composites 2017 - West Lafayette, United States Duration: Oct 23 2017 → Oct 25 2017 |

### Other

Other | 32nd Technical Conference of the American Society for Composites 2017 |
---|---|

Country | United States |

City | West Lafayette |

Period | 10/23/17 → 10/25/17 |

### Fingerprint

### ASJC Scopus subject areas

- Ceramics and Composites

### Cite this

*32nd Technical Conference of the American Society for Composites 2017*(Vol. 2, pp. 1315-1330). DEStech Publications Inc..

**Implementation of a tabulated failure model into a generalized composite material model suitable for use in impact problems.** / Goldberg, Robert K.; Carney, Kelly S.; DuBois, Paul; Hoffarth, Canio; Khaled, Bilal; Shyamsunder, Loukham; Rajan, Subramaniam; Blankenhorn, Gunther.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*32nd Technical Conference of the American Society for Composites 2017.*vol. 2, DEStech Publications Inc., pp. 1315-1330, 32nd Technical Conference of the American Society for Composites 2017, West Lafayette, United States, 10/23/17.

}

TY - GEN

T1 - Implementation of a tabulated failure model into a generalized composite material model suitable for use in impact problems

AU - Goldberg, Robert K.

AU - Carney, Kelly S.

AU - DuBois, Paul

AU - Hoffarth, Canio

AU - Khaled, Bilal

AU - Shyamsunder, Loukham

AU - Rajan, Subramaniam

AU - Blankenhorn, Gunther

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The need for accurate material models to simulate the deformation, damage and failure of polymer matrix composites under impact conditions is becoming critical as these materials are gaining increased use in the aerospace and automotive communities. The aerospace community has identified several key capabilities which are currently lacking in the available material models in commercial transient dynamic finite element codes. To attempt to improve the predictive capability of composite impact simulations, a next generation material model is being developed for incorporation within the commercial transient dynamic finite element code LS-DYNA. The material model, which incorporates plasticity, damage and failure, utilizes experimentally based tabulated input to define the evolution of plasticity and damage and the initiation of failure as opposed to specifying discrete input parameters such as modulus and strength. The plasticity portion of the orthotopic, threedimensional, macroscopic composite constitutive model is based on an extension of the Tsai-Wu composite failure model into a generalized yield function with a nonassociative flow rule. For the damage model, a strain equivalent formulation is used to allow for the uncoupling of the deformation and damage analyses. For the failure model, a tabulated approach is utilized in which a stress or strain based invariant is defined as a function of the location of the current stress state in stress space to define the initiation of failure. Failure surfaces can be defined with any arbitrary shape, unlike traditional failure models where the mathematical functions used to define the failure surface impose a specific shape on the failure surface. In the current paper, the complete development of the failure model is described and the generation of a tabulated failure surface for a representative composite material is discussed.

AB - The need for accurate material models to simulate the deformation, damage and failure of polymer matrix composites under impact conditions is becoming critical as these materials are gaining increased use in the aerospace and automotive communities. The aerospace community has identified several key capabilities which are currently lacking in the available material models in commercial transient dynamic finite element codes. To attempt to improve the predictive capability of composite impact simulations, a next generation material model is being developed for incorporation within the commercial transient dynamic finite element code LS-DYNA. The material model, which incorporates plasticity, damage and failure, utilizes experimentally based tabulated input to define the evolution of plasticity and damage and the initiation of failure as opposed to specifying discrete input parameters such as modulus and strength. The plasticity portion of the orthotopic, threedimensional, macroscopic composite constitutive model is based on an extension of the Tsai-Wu composite failure model into a generalized yield function with a nonassociative flow rule. For the damage model, a strain equivalent formulation is used to allow for the uncoupling of the deformation and damage analyses. For the failure model, a tabulated approach is utilized in which a stress or strain based invariant is defined as a function of the location of the current stress state in stress space to define the initiation of failure. Failure surfaces can be defined with any arbitrary shape, unlike traditional failure models where the mathematical functions used to define the failure surface impose a specific shape on the failure surface. In the current paper, the complete development of the failure model is described and the generation of a tabulated failure surface for a representative composite material is discussed.

UR - http://www.scopus.com/inward/record.url?scp=85047777803&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85047777803&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85047777803

VL - 2

SP - 1315

EP - 1330

BT - 32nd Technical Conference of the American Society for Composites 2017

PB - DEStech Publications Inc.

ER -