Institutional Digital Repository (Indian Institute of Technology Kharagpu)

Kumar, Sanjeet

Ergonomic Study of Patient Handling Jobs in Healthcare Systems

Anjum, Nazma

Elucidating the Role of Rice Transcription Factor OsNAC121 in Plant Architecture and Stress Mitigation

Bisui, Nantu Kumar

Some Gradient Based Trust Region Techniques for Nonlinear Multi Objective Optimization Problems

Sunil, Potnis Gaurav

Strengthening and Twinning Mediated Plasticity in As-Cast and Thermomechanically Treated CoCr1.3FeNi0.7mnnbx Eutectic High Entropy Alloy with Low Stacking Fault Energy

Mishra, Shakti

Microstructural Modification to Enhance the Properties of Carbon Nanotube Reinforced Copper Composites

Deshpande, Aditya Shyamrao

 
 
Analysis of Macro-damage Evolution in Homogeneous and Inhomogeneous 
Structures using Localizing Gradient Continuum Damage Mechanics 
Abstract 
Composite and functionally graded materials (FGMs) have become popular over the 
conventional engineering materials due to their superior properties and tailorability. However, 
due to the material inhomogeneity present in these materials at the micro-scales, developing 
computational methods for their analysis poses significant challenges. In quasi-brittle 
materials, FGMs and composites, the material’s constituents and the inherent micro-defects 
and damages interact at micro-scales under the action of loading. An accurate understanding 
of materials' damage mechanisms and failure response is crucial. Therefore, it is imperative 
that a comprehensive computational framework that is efficient and robust in handling the 
damage analysis of these high-performance materials be developed. Continuum-based damage 
mechanics (CDM) models have been very effective in the analysis of damage initiation, 
evolution, and failure over other methods; but, pose some limitations due to localization and 
discretization sensitivity Regularization schemes are employed to tackle these computational 
issues. The localizing gradient damage model is a highly efficient regularization approach that 
can easily handle micro-macro strain interactions in inhomogeneous materials.  
In the present investigation, the localizing gradient damage model is employed to study the 
evolution of damage in homogeneous and inhomogeneous structures. Characteristically, the 
material’s damage response depends on the choice of damage evolution law and various 
damage parameters. This work uses exponential damage evolution law to model the material's 
degradation response beyond the damage initiation. The mixed finite element formulation of 
the damage model is implemented in the Abaqus finite element package by using a user-defined 
subroutine (UEL). Various validation studies are performed to validate the model's accuracy, 
comparing the observed structural response with experimental and numerical data for both 
homogeneous and inhomogeneous materials. The evolution of damage in homogeneous, quasi-
brittle structure is analyzed for various loading and boundary conditions. A quantitative 
analysis of the influence of damage evolution law parameters on the material's macro-damage 
response is performed. Effects of variation in specimen size and crack length are also 
investigated phenomenologically. The novel contribution of the present research work is the 
development of damage analysis methodology for the macro-damage analysis of 
inhomogeneous FGMs. The orthotropic and isotropic FGM plates with material property 
gradation for longitudinal, transverse and shear moduli in x and y directions are modelled, and 
the macro-damage response of the structures is examined. Characteristics of proportional and 
non-proportional material gradation in the material moduli on the structure’s damage evolution 
and relative effects of variation in macro-cracks on the structure's damage response are studied. 
The outcomes of the present work can be extended to analyze the macro-damage initiation, 
evolution and failure in the case of other inhomogeneous materials, such as braided composites, 
textile composites, multi-directional composites, etc., as the scope of future work. The findings 
of the present research work provide a comprehensive understanding of the macro-damage 
evolution for homogeneous and inhomogeneous structures, thus offering insights for the 
development of a better design philosophy with enhanced durability and damage tolerance in 
critical engineering applications.  
Keywords: Macro-damage Evolution; Composite Materials, Functionally Graded Materials 
(FGMs); Continuum Damage Mechanics (CDM); Regularization; Localizing Gradient 
Damage Model; Damage Evolution Law 


Analysis of Macro-Damage Evolution in Homogeneous and Inhomogeneous Structures using Localizing Gradient Continuum Damage Mechanics

Bose, Debajit

Aspects of Celestial Capture on Dark Matter Phenomenology

Mondal, Sourav

Synthesis and Optoelectronic Properties of 5, 6-Fused Conjugated Carbocycles

Nahak, Sudestna

Analysis and Classification of Cardiac Arrhythmia and Associated Disorders using ECG Signals

Ranjan, Rajesh

Suspended Sediment Load Modelling Using Hydrological Simulation and Copula Based Approach

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