scholarly journals On Ductile Damage Modelling of Heterogeneous Material Using Second-Order Homogenization Approach

2021 ◽  
Vol 126 (3) ◽  
pp. 915-934
Author(s):  
Jurica Sorić ◽  
Tomislav Lesičar ◽  
Zdenko Tonković
Keyword(s):  
Heterogeneous Material ◽  
Second Order ◽  
Ductile Damage ◽  
Damage Modelling ◽  
Homogenization Approach

Second-Order Computational Homogenization Approach Using Higher-Order Gradients at Microlevel

2015 ◽  
Vol 665 ◽  
pp. 181-184 ◽  
Author(s):  
Tomislav Lesičar ◽  
Zdenko Tonković ◽  
Jurica Sorić
Keyword(s):  
Heterogeneous Material ◽  
Computational Homogenization ◽  
Second Order ◽  
Material Behavior ◽  
Bending Test ◽  
Present Contribution ◽  
Three Point Bending ◽  
Linear Elastic ◽  
Homogenization Approach ◽  
Realistic Description

Realistic description of heterogeneous material behavior demands more accurate modeling at macroscopic and microscopic scales. To observe strain localization phenomena and material softening occurring at the microstructural level, an analysis on the microlevel is unavoidable. Multiscale techniques employing several homogenization schemes can be found in literature. Widely used second-order homogenization requiresC1continuity at the macrolevel, while standardC0continuity has usually been hold at microlevel. However, due to theC1-C0transition macroscale variables cannot be defined fully consistently. The present contribution is concerned with a multiscale second-order computational homogenization employingC1continuity at both scales under assumptions of small strains and linear elastic material behavior. All algorithms derived are implemented into the FE software ABAQUS. The numerical efficiency and accuracy of the proposed computational strategy is demonstrated by modeling three point bending test of the notched specimen.

Finite element analysis of combined forming processes by means of rate dependent ductile damage modelling

2015 ◽  
Vol 10 (1) ◽  
pp. 73-84 ◽  
Author(s):  
Y. Kiliclar ◽  
I. N. Vladimirov ◽  
S. Wulfinghoff ◽  
S. Reese ◽  
O. K. Demir ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Ductile Damage ◽  
Element Analysis ◽  
Rate Dependent ◽  
Damage Modelling

Ductile damage modelling with locking-free regularised GTN model

2018 ◽  
Vol 113 (13) ◽  
pp. 1871-1903 ◽  
Author(s):  
Yi Zhang ◽  
Eric Lorentz ◽  
Jacques Besson
Keyword(s):  
Ductile Damage ◽  
Gtn Model ◽  
Damage Modelling

Measure of Nonlocal Response in Multiscale Gradient Modeling

2016 ◽  
Vol 713 ◽  
pp. 297-300
Author(s):  
Tomislav Lesičar ◽  
Zdenko Tonković ◽  
Jurica Sorić
Keyword(s):  
Multiple Scales ◽  
Gradient Elasticity ◽  
Heterogeneous Material ◽  
Second Order ◽  
Material Behavior ◽  
Successful Development ◽  
Macroscopic Fracture ◽  
Realistic Description ◽  
Gradient Elasticity Theory ◽  
Gradient Modeling

Realistic description of heterogeneous material behavior demands more accurate modeling at multiple scales. Multiscale scheme employing second-order homogenization requires C1 continuity at the macrolevel, while classical continuum is usually kept at the microlevel (C1-C0 homogenization). However, due to C1-C0 transition, consistency of macroscale variables is violated. This research proposes a new second-order homogenization scheme employing C1 continuity at both scales. Discretization is performed by the C1 finite element and Aifantis gradient elasticity theory. A new gradient boundary conditions are derived. The relation between the Aifantis length scale and the RVE size has been found. The new procedure is tested on a benchmark example. After successful development of the C1-C1 multiscale scheme, the next step is an extension to consistent scaling of the microscale strain localization towards a macroscopic fracture.

Disappearance Voltage Determinations Using a Convergent Beam

1971 ◽  
Vol 29 ◽  
pp. 184-185
Author(s):  
W. L. Bell
Keyword(s):  
Second Order ◽  
Objective Method ◽  
Uniform Thickness ◽  
Rocking Curve ◽  
Crystal Perfection ◽  
Kikuchi Line ◽  
Central Maximum ◽  
Diffraction Patterns ◽  
Convergent Beam ◽  
Beam Technique

Disappearance voltages for second order reflections can be determined experimentally in a variety of ways. The more subjective methods, such as Kikuchi line disappearance and bend contour imaging, involve comparing a series of diffraction patterns or micrographs taken at intervals throughout the disappearance range and selecting that voltage which gives the strongest disappearance effect. The estimated accuracies of these methods are both to within 10 kV, or about 2-4%, of the true disappearance voltage, which is quite sufficient for using these voltages in further calculations. However, it is the necessity of determining this information by comparisons of exposed plates rather than while operating the microscope that detracts from the immediate usefulness of these methods if there is reason to perform experiments at an unknown disappearance voltage.The convergent beam technique for determining the disappearance voltage has been found to be a highly objective method when it is applicable, i.e. when reasonable crystal perfection exists and an area of uniform thickness can be found. The criterion for determining this voltage is that the central maximum disappear from the rocking curve for the second order spot.

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