Computational Implementation of a Thermodynamically Based Work Potential Model for Progressive Microdamage and Transverse Cracking in Fiber-reinforced Laminates

Pineda, Evan J.; Waas, Anthony M.; Bednarcyk, Brett A.; Collier, Craig

doi:10.2514/6.2010-2815

Cited by 6 publications

(11 citation statements)

References 53 publications

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“…Pineda et al (2010) implemented this extended formulation in a numerical setting to simulate the failure of a buffer strip-reinforced, center-notched panel (CNP). However, due to the cumbersome nature of the evolution equations, the microdamage and transverse cracking evolution equations were decoupled to arrive at a more efficient implementation.…”

Section: Introductionmentioning

confidence: 99%

Numerical implementation of a multiple-ISV thermodynamically-based work potential theory for modeling progressive damage and failure in fiber-reinforced laminates

2013

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Section: Introductionmentioning

confidence: 99%

Numerical implementation of a multiple-ISV thermodynamically-based work potential theory for modeling progressive damage and failure in fiber-reinforced laminates

2013

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“…The previously developed ST 34,37,38,[41][42][43] is extended to accommodate mesh objective, post peak strain softening. Separate ISVs are used to govern the evolution of matrix microdamage, transverse (mode I) matrix failure, shear (mode II) matrix failure, and fiber breakage (mode I).…”

Section: Enhanced Schapery Theorymentioning

confidence: 99%

“…Ref. 38 implemented the dual-ISV formulation of ST for predicting microdamage and transverse cracking within FEM to model the response of a center-notched laminate that was reinforced with buffer strips. The original formulation required the solution of two, coupled, bi-variate polynomials, which in an FEM framework became extremely computationally intensive.…”

Section: Use Of Traction-separation Relationships To Define the Failumentioning

confidence: 99%

“…36 and 37 extended the formulation to include the effects of transverse cracking by adding an additional internal state variable (ISV) and predicted the evolution of microdamage and transverse cracking in coupon laminates analytically. 38 implemented this extended formulation in a numerical setting to simulate the failure of a buffer stripreinforced, center-notched panel (CNP). However, due to the cumbersome nature of the evolution equations, the microdamage and transverse cracking evolution equations were decoupled to arrive at a more efficient implementation.…”

Section: Introductionmentioning

confidence: 99%

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A Thermodynamically-Based Mesh Objective Work Potential Theory for Predicting Intralaminar Progressive Damage and Failure in Fiber-Reinforced Laminates

Pineda¹,

Waas²

2012

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials ConferenceSelf Cite

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A thermodynamically-based work potential theory for modeling progressive damage and failure in fiber-reinforced laminates is presented. The current, multiple-internal state variable (ISV) formulation, enhanced Schapery theory (EST), utilizes separate ISVs for modeling the effects of damage and failure. Damage is considered to be the effect of any structural changes in a material that manifest as pre-peak non-linearity in the stress versus strain response. Conversely, failure is taken to be the effect of the evolution of any mechanisms that results in post-peak strain softening. It is assumed that matrix microdamage is the dominant damage mechanism in continuous fiber-reinforced polymer matrix laminates, and its evolution is controlled with a single ISV. Three additional ISVs are introduced to account for failure due to mode I transverse cracking, mode II transverse cracking, and mode I axial failure. Typically, failure evolution (i.e., post-peak strain softening) results in pathologically mesh dependent solutions within a finite element method (FEM) setting. Therefore, consistent character element lengths are introduced into the formulation of the evolution of the three failure ISVs. Using the stationarity of the total work potential with respect to each ISV, a set of thermodynamically consistent evolution equations for the ISVs is derived. The theory is implemented into commercial FEM software. Objectivity of total energy dissipated during the failure process, with regards to refinements in the FEM mesh, is demonstrated. The model is also verified against experimental results from two laminated, T800/3900-2 panels containing a central notch and different fiber-orientation stacking sequences. Global load versus displacement, global load versus local strain gage data, and macroscopic failure paths obtained from the models are compared to the experiments.

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“…Mesh objective, subcell interfacial debonding has been formulated for GMC (see Ref. 39,40) but has not been fully developed within MAC/GMC. As a result, thin matrix channels were inserted between any adjacent fibers to avoid arrest of the crack band for non-physical reasons such as the inability of two adjacent fiber to separate.…”

Section: Iiia Details Of Numerical Modelsmentioning
confidence: 99%

Progressive Failure of a Unidirectional Fiber-reinforced Composite Using the Method of Cells: Discretization Objective Computational Results
Pineda
¹
,
Bednarcyk
²
,
Waas
³

et al. 2012
53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials ConferenceSelf Cite
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Computational Implementation of a Thermodynamically Based Work Potential Model for Progressive Microdamage and Transverse Cracking in Fiber-reinforced Laminates

Cited by 6 publications

References 53 publications

Numerical implementation of a multiple-ISV thermodynamically-based work potential theory for modeling progressive damage and failure in fiber-reinforced laminates

Numerical implementation of a multiple-ISV thermodynamically-based work potential theory for modeling progressive damage and failure in fiber-reinforced laminates

A Thermodynamically-Based Mesh Objective Work Potential Theory for Predicting Intralaminar Progressive Damage and Failure in Fiber-Reinforced Laminates

Progressive Failure of a Unidirectional Fiber-reinforced Composite Using the Method of Cells: Discretization Objective Computational Results

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