Progressive damage modeling in fiber-reinforced materials
01 Nov 2007-Composites Part A-applied Science and Manufacturing (Elsevier)-Vol. 38, Iss: 11, pp 2333-2341
TL;DR: In this article, an anisotropic damage model suitable for predicting failure and post-failure behavior in fiber-reinforced materials is presented, which is intended to predict behavior of elastic-brittle materials that show no significant plastic deformation before failure.
Abstract: This paper presents an anisotropic damage model suitable for predicting failure and post-failure behavior in fiber-reinforced materials. In the model the plane stress formulation is used and the response of the undamaged material is assumed to be linearly elastic. The model is intended to predict behavior of elastic-brittle materials that show no significant plastic deformation before failure. Four different failure modes – fiber tension, fiber compression, matrix tension, and matrix compression – are considered and modeled separately. The onset of damage is predicted using Hashin’s initiation criteria [Hashin Z, Rotem A. A fatigue failure criterion for fiber-reinforced materials. J Compos Mater 1973;7:448; Hashin Z. Failure criteria for unidirectional fiber composites. J Appl Mech 1980;47:329–34] and the progression of damage is controlled by a new damage evolution law, which is easy to implement in a finite element code. The evolution law is based on fracture energy dissipation during the damage process and the increase in damage is controlled by equivalent displacements. The issues related to numerical implementation, such as mesh sensitivity and convergence in the softening regime, are also addressed.
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TL;DR: In this article, the impact damage of composite laminates in the form of intra-and inter-laminar cracking was modelled using stress-based criteria for damage initiation, and fracture mechanics techniques to capture its evolution.
476 citations
TL;DR: In this paper, a comprehensive review on the general methodologies on the damage constitutive modeling by continuum damage mechanics (CDM), the various failure criteria, the damage evolution law simulating the stiffness degradation, and the finite element implementation of progressive failure analysis in terms of the mechanical response for the variable-stiffness composite laminates arising from the continuous failure.
261 citations
TL;DR: In this paper, a representative volume cell (RVC) is chosen to analyze the progressive damage behavior of 3D four-directional braided composites with large braid angle subjected to uniaxial tension.
231 citations
TL;DR: In this paper, a procedure for superposing linear cohesive laws to approximate an experimentally-determined R-curve is proposed, which is demonstrated for the longitudinal fracture of a fiber-reinforced polymer-matrix composite.
Abstract: The relationships between a resistance curve (R-curve), the corresponding fracture process zone length, the shape of the traction-displacement softening law, and the propagation of fracture are examined in the context of the through-the-thickness fracture of composite laminates. A procedure for superposing linear cohesive laws to approximate an experimentally-determined R-curve is proposed. Simple equations are developed for determining the separation of the critical energy release rates and the strengths that define the independent contributions of each linear softening law in the superposition. The proposed procedure is demonstrated for the longitudinal fracture of a fiber-reinforced polymer-matrix composite. It is shown that the R-curve measured with a Compact Tension Specimen test cannot be predicted using a linear softening law, but can be reproduced by superposing two linear softening laws.
203 citations
Cites background from "Progressive damage modeling in fibe..."
...In damage models such as the cohesive elements in AbaqusandtheAbaqusProgressiveDamageModelfor Composites ( Lapczyk and Hurtado 2007 ), objectivity of the solution is achieved by representing a material’s softeningresponsewithalinearsofteninglawwitharea equal to the critical energy release rate of the material ineachmodeoffracture,asshowninFig.1.Inthecontext of cohesive zone models, the linear softening law...
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TL;DR: In this paper, the effects of different failure criteria including Puck, Hashin and Chang-Chang criteria on the dynamic progressive failure properties of carbon fiber composite laminates are explored.
178 citations
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3,622 citations
01 May 1983
TL;DR: In this article, a fracture theory for a heterogenous aggregate material which exhibits a gradual strain-softening due to microcracking and contains aggregate pieces that are not necessarily small compared to structural dimensions is developed.
Abstract: A fracture theory for a heterogenous aggregate material which exhibits a gradual strain-softening due to microcracking and contains aggregate pieces that are not necessarily small compared to structural dimensions is developed. Only Mode I is considered. The fracture is modeled as a blunt smeard crack band, which is justified by the random nature of the microstructure. Simple triaxial stress-strain relations which model the strain-softening and describe the effect of gradual microcracking in the crack band are derived. It is shown that it is easier to use compliance rather than stiffness matrices and that it suffices to adjust a single diagonal term of the complicance matrix. The limiting case of this matrix for complete (continuous) cracking is shown to be identical to the inverse of the well-known stiffness matrix for a perfectly cracked material. The material fracture properties are characterized by only three parameters—fracture energy, uniaxial strength limit and width of the crack band (fracture process zone), while the strain-softening modulus is a function of these parameters. A method of determining the fracture energy from measured complete stres-strain relations is also given. Triaxial stress effects on fracture can be taken into account. The theory is verified by comparisons with numerous experimental data from the literature. Satisfactory fits of maximum load data as well as resistance curves are achieved and values of the three material parameters involved, namely the fracture energy, the strength, and the width of crack band front, are determined from test data. The optimum value of the latter width is found to be about 3 aggregate sizes, which is also justified as the minimum acceptable for a homogeneous continuum modeling. The method of implementing the theory in a finite element code is also indicated, and rules for achieving objectivity of results with regard to the analyst's choice of element size are given. Finally, a simple formula is derived to predict from the tensile strength and aggregate size the fracture energy, as well as the strain-softening modulus. A statistical analysis of the errors reveals a drastic improvement compared to the linear fracture theory as well as the strength theory. The applicability of fracture mechanics to concrete is thus solidly established.
3,102 citations
TL;DR: In this paper, a simple fatigue failure criterion for unidirectionally fiber reinforced laminae under oscillatory states of combined plane stress has been presented, expressed in terms of thre
Abstract: A simple fatigue failure criterion for unidirectionally fiber reinforced laminae under oscillatory states of combined plane stress has been es tablished The criterion is expressed in terms of thre
1,406 citations
TL;DR: In this paper, a constitutive model for anisotropic damage is developed to describe the elastic-brittle behavior of fiber-reinforced composites and the corresponding rate-equations are subjected to the laws of thermomechanics.
1,099 citations
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