Cohesive Modeling of Quasi-Static Fracture in Functionally Graded Materials

2005 ◽  
Vol 73 (5) ◽  
pp. 783-791 ◽  
Author(s):  
Soma Sekhar V. Kandula ◽  
Jorge Abanto-Bueno ◽  
John Lambros ◽  
Philippe H. Geubelle
Keyword(s):  
Functionally Graded ◽  
Cohesive Failure ◽  
Cohesive Law ◽  
Graded Materials ◽  
Cohesive Model ◽  
Cohesive Modeling ◽  
Static Fracture ◽  
Fracture Tests ◽  
Subsequent Propagation ◽  
Spatially Varying

A spatially varying cohesive failure model is used to simulate quasi-static fracture in functionally graded polymers. A key aspect of this paper is that all mechanical properties and cohesive parameters entering the analysis are derived experimentally from full-scale fracture tests allowing for a fit of only the shape of the cohesive law to experimental data. The paper also summarizes the semi-implicit implementation of the cohesive model into a cohesive-volumetric finite element framework used to predict the quasi-static crack initiation and subsequent propagation in the presence of material gradients.

Cohesive Modeling of Dynamic Crack Growth in Homogeneous and Functionally Graded Materials

2008 ◽  
Author(s):  
Zhengyu Zhang ◽  
Glaucio H. Paulino ◽  
Waldemar Celes ◽  
Glaucio H. Paulino ◽  
Marek-Jerzy Pindera ◽  
...  
Keyword(s):  
Crack Growth ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Dynamic Crack ◽  
Graded Materials ◽  
Dynamic Crack Growth ◽  
Cohesive Modeling

Cohesive modeling of dynamic fracture in functionally graded materials

2005 ◽  
Vol 132 (3) ◽  
pp. 275-296 ◽  
Author(s):  
SOMA SEKHAR V. KANDULA ◽  
JORGE ABANTO-BUENO ◽  
PHILIPPE H. GEUBELLE ◽  
JOHN LAMBROS
Keyword(s):  
Functionally Graded Materials ◽  
Dynamic Fracture ◽  
Functionally Graded ◽  
Graded Materials ◽  
Cohesive Modeling

Manufacture and Testing of a Functionality Graded Material

1999 ◽  
Vol 121 (4) ◽  
pp. 488-493 ◽  
Author(s):  
J. Lambros ◽  
A. Narayanaswamy ◽  
M. H. Santare ◽  
G. Anlas
Keyword(s):  
Large Scale ◽  
Field Measurements ◽  
Functionally Graded ◽  
Image Correlation ◽  
Graded Materials ◽  
Property Variation ◽  
Graded Material ◽  
Energy Release Rates ◽  
Edge Notch ◽  
Fracture Tests

A novel technique is presented for the fabrication and fracture testing of large-scale polymeric based Functionality Graded Materials (FGMs). The technique generates a continuously inhomogeneous property variation by taking advantage of the susceptibility of a polyethylene carbon monoxide copolymer (ECO) to ultraviolet irradiation. The resulting FGMs exhibit a varying Young’s modulus, usually in a linear fashion, from approximately 160 MPa to 250 MPa over 150 mm wide specimens. The fracture behaviour of the FGM is experimentally investigated through the use of single edge notch fracture tests on both homogeneously irradiated and functionally graded ECO. Two approaches are used to evaluate fracture parameters: The first, a hybrid numerical-experimental method, is based on far field measurements only. The second uses digital image correlation to obtain near tip measurements. The energy release rates of uniformly irradiated ECO and of several FGMs are measured and compared. It was seen that the FGM showed a built-in fracture resistance behavior implying that it requires increased driving force to sustain crack growth.

Inverse determination of spatially varying material coefficients in solid objects

2016 ◽  
Vol 24 (2) ◽  
Author(s):  
George S. Dulikravich ◽  
Sohail R. Reddy ◽  
Marcelo A. Pasqualette ◽  
Marcelo J. Colaço ◽  
Helcio R. B. Orlande ◽  
...  
Keyword(s):  
Spatial Distribution ◽  
Field Potential ◽  
Field Variable ◽  
Functionally Graded ◽  
Boundary Values ◽  
Field Quantity ◽  
Graded Materials ◽  
Electric Field Potential ◽  
Volume Method ◽  
Spatially Varying

AbstractMaterial properties such as thermal conductivity, magnetic permeability, electric permittivity, modulus of elasticity, Poisson's ratio, thermal expansion coefficient, etc. can vary spatially throughout a given solid object as it is the case in functionally graded materials. Finding this spatial variation is an inverse problem that requires boundary values of the field quantity such as temperature, magnetic field potential or electric field potential and its derivatives normal to the boundaries. In this paper, we solve the direct problem of predicting the spatial distribution of the field variable based on its measured boundary values and on the assumed spatial distribution of the diffusion coefficient using radial basis functions, the finite volume method and the finite element method, whose accuracies are verified against analytical solutions. Minimization of the sum of normalized least-squares differences between the calculated and measured values of the field quantity at the boundaries then leads to the correct parameters in the analytic model for the spatial distribution of the spatially varying material property.

Dynamic Analysis with Stress Recovery for Functionally Graded Materials: Numerical Simulation and Experimental Benchmarking

2014 ◽  
Vol 2 (1) ◽  
pp. 21
Author(s):  
Carlos Alberto Dutra Fraga Filho ◽  
Fernando César Meira Menandro ◽  
Rivânia Hermógenes Paulino de Romero ◽  
Juan Sérgio Romero Saenz
Keyword(s):  
Numerical Simulation ◽  
Dynamic Analysis ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Stress Recovery ◽  
Graded Materials
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