Composite materials non-linear modelling for long fibre-reinforced laminates

Martı́nez

et al. 2015

Composite Structures

This work presents a two-scale homogenization procedure to analyze three dimension composite structures by the finite element method. The theory implemented is compared with other micro-structural formulations: micro models and the serial-parallel mixing theory, in terms of result accuracy and computational cost. The comparison shows that for linear analysis, the homogenization proposed is an excellent alternative to the other formulations considered. Its computational cost is substantially lower than the one required by the micro-model and it is able to capture some micro-structural phenomena that it is not automatically recorded by the serial-parallel mixing theory. It will also be shown that the extension of the proposed theory to the non-linear range stills represents a challenge. The major limitation is its prohibitive computational cost because it requires solve the sub scale at each gauss point and each load step. However the comparison shows that this cost is in terms of CPU time but not in terms of memory. Based on the results obtained, it can be concluded that the homogenization method is an excellent alternative for the simulation of materials with complex micro structures. The method is also very promising for non linear simulations, * Corresponding author

Section: Serial-parallel Mixing Theorymentioning

confidence: 99%

Section: Serial-parallel Mixing Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical homogenization for composite materials analysis. Comparison with other micro mechanical formulations

Otero

Martı́nez

et al. 2015

Composite Structures

“…Through differentiation of these expressions, the complete expressions for the constitutive equation (6) and the tangent constitutive tensor (24) are obtained as…”

Section: Model Particularization For Neo-hooken Hyperelasticitymentioning

confidence: 99%

A generalized finite‐strain damage model for quasi‐incompressible hyperelasticity using hybrid formulation

Comellas

Bellomo

Numerical Meth Engineering

2015

Self Cite

SUMMARYA new generalized damage model for quasi-incompressible hyperelasticity in a total Lagrangian finite strain framework is presented. A Kachanov-like reduction factor (1 − D) is applied on the deviatoric part of the hyperelastic constitutive model. Linear and exponential softening are defined as damage evolution laws, both describable in terms of only two material parameters. The model is formulated following continuum damage mechanics theory such that it can be particularized for any hyperelastic model based on the volumetricisochoric split of the Helmholtz free energy. However, in the present work it has been implemented in an in-house finite element code for neo-Hooke and Ogden hyperelasticity. The details of the hybrid formulation used are also described. A couple of three-dimensional examples are presented to illustrate the main characteristics of the damage model. The results obtained reproduce a wide range of softening behaviors, highlighting the versatility of the formulation proposed. The damage formulation has been developed to be used in conjunction with mixing theory in order to model the behavior of fibered biological tissues. As an example, the markedly different behaviors of the fundamental components of the rectus sheath were reproduced using the damage model, obtaining excellent correlation with the experimental results from literature.

“…M A N U S C R I P T A C C E P T E D ACCEPTED MANUSCRIPT f " and m ", with the average or macroscopic strain. For that purpose, this work makes use of the serial-parallel (SP) continuum approach developed by Rastellini et al [37] and Martinez et al [31], which makes the composite behaviour dependent on both the constitutive laws of the component materials according to their volumetric fraction and to their kinematics interaction and morphological distribution inside the composite. The model is essentially based on an appropriate management of the constitutive laws of component phases within a continuum framework by making use of suitable closure equations that characterize the composite micro-mechanics kinematics.…”

Section: Micro-mechanical Approachmentioning

confidence: 99%

Micro-mechanical approach for the vibration analysis of CFRP laminates under impact-induced damage

Pérez¹,

Composites Part B: Engineering

Felippa

et al. 2015

Self Cite

This paper deals with modeling the e↵ect of low-velocity impact damage upon the vibration response of CFRP laminates through a micro-mechanical description of the induced internal damage. The serial-parallel (SP) continuum approach is used to estimate the map of induced internal damage by considering the micro-structural interaction between the composite constituents and modifying their constitutive performance through a continuum damage formulation. An eigenvalue analysis is then done to determine the modal response of impacted laminates. The validity of the modeling approach to successfully reproduce the vibration response of impacted coupons is assessed through a comparison with an experimental test series conducted on a set of 48 CFRP laminated coupons. The results confirm the ability of the described approach in comparison to competing ones used to reproduce the experimentally observed behaviour.