Damage Mechanisms Modeling for Ceramic Composites

1994 ◽  
Vol 116 (3) ◽  
pp. 331-336 ◽  
Author(s):  
P. Ladeve`ze ◽  
A. Gasser ◽  
O. Allix
Keyword(s):  
Structural Analysis ◽  
Damage Mechanics ◽  
Constitutive Relations ◽  
Continuum Damage Mechanics ◽  
Ceramic Composites ◽  
Continuum Damage ◽  
Damage State ◽  
Damage Mechanisms ◽  
Final Fracture

For ceramic composites, continuum damage mechanics models are built, which include information coming from both the “micro” and “macro” scales. These models are constitutive relations which, when included in a structural analysis code, are able to predict the damage state of the studied structure at any time and at any point until final fracture.

scholarly journals A continuum damage mechanics-based approach for the high cycle fatigue behavior of metallic polycrystals

2018 ◽  
Vol 28 (6) ◽  
pp. 838-856 ◽  
Author(s):  
Charles Mareau ◽  
Franck Morel
Keyword(s):  
Normal Stress ◽  
Damage Mechanics ◽  
High Cycle Fatigue ◽  
Fatigue Behavior ◽  
Constitutive Relations ◽  
Continuum Damage Mechanics ◽  
Elastic Behavior ◽  
Internal Stresses ◽  
Continuum Damage ◽  
Cycle Fatigue

Polycrystalline elasto-plasticity models provide a general framework for investigating the effect of microstructural heterogeneities (e.g. grains, inclusions, pores) on the high cycle fatigue behavior of metallic materials. In this work, continuum damage mechanics is used to construct a set of constitutive relations to describe the progressive degradation of certain mechanical properties at the grain scale. The damage is considered to be coupled with the elastic behavior of the material. Special care is taken to include the anisotropic aspect of fatigue damage and the effect of intragranular internal stresses. The constitutive relations are then implemented within a self-consistent model to evaluate intergranular interactions. Finally, the model is used to investigate the high cycle fatigue behavior of polycrystalline copper. It is shown that the influence of certain loading conditions on the high cycle behavior is correctly reproduced. Specifically, the application of a mean shear stress does not result in an increase in damage; however, a mean normal stress is damaging. That is, a decrease in the fatigue resistance is predicted when the mean normal stress is increased.

Notion of Continuum Damage Mechanics and its Application to Anisotropic Creep Damage Theory

1983 ◽  
Vol 105 (2) ◽  
pp. 99-105 ◽  
Author(s):  
S. Murakami
Keyword(s):  
Damage Mechanics ◽  
Creep Damage ◽  
Continuum Damage Mechanics ◽  
Continuum Damage ◽  
Damage State ◽  
Creep Theory ◽  
Damage Theory ◽  
Damaged Materials ◽  
Damage Tensor ◽  
Anisotropic Creep

After discussing the notion and the practical procedures of continuum damage mechanics, their utility is elucidated by applying them to formulate an anisotropic creep damage theory for nonsteady multiaxial states of stress. By taking account of the mechanisms of microstructural change of materials due to creep, it is shown that the creep damage state can be described by a second rank symmetric damage tensor, while the effects of material damage on creep deformation of damaged materials should be expressed by a fourth rank tensor formed from the damage tensor. Validity of the creep theory formulated in terms of these damage variables is examined by performing model tests. Specialization of the proposed theory is also discussed.

Machining Simulation for Ceramics Based on Continuum Damage Mechanics

2002 ◽  
Vol 124 (3) ◽  
pp. 553-561 ◽  
Author(s):  
Xianbing Liu ◽  
Bi Zhang
Keyword(s):  
Silicon Nitride ◽  
Damage Mechanics ◽  
Current Model ◽  
Continuum Damage Mechanics ◽  
Machining Process ◽  
Depth Of Cut ◽  
Contour Plot ◽  
Continuum Damage ◽  
Damage State ◽  
Highly Nonlinear

An abrasive machining process for ceramics is simulated with a nonlinear thermodynamic constitutive model based on the principle of continuum damage mechanics (CDM). The model consists of a set of parallel Maxwell-type elements arranged in series with a spring. It incorporates stochastic material microstructure through two sets of the newly introduced material parameters, spring-like constants Cr and damping-like coefficients arr=1,2,…,n. Damage is considered cumulative and related with current stress and damage state in a ceramic workpiece during loading, which constitutes damage evolution. A fourth-order isotropic damage tensor is introduced. This highly nonlinear CDM model is reduced to an incremental formulation and approximated by a 3D nonlinear finite element program based on the Newton-Raphson method. The stress-strain correlation calculated from the current model is presented for alumina, silicon carbide, and silicon nitride. The predicted results of damage versus the depth of cut for the three ceramics subjected to machining with single diamond grit are validated by the experiment. As one example, the development of damage with the movement of the abrasive grit in a silicon nitride workpiece is demonstrated by a contour plot. The final part of this paper presents the calculated distribution of residual stress in a silicon nitride sample and the factors contributing to the distribution are discussed.

scholarly journals DESCRIPTION OF DETERIORATION PROCESSES: DAMAGE PARAMETER OF Y.N. RABOTNOV: HISTORICAL REMARKS, FUNDAMENTAL RESULTS AND CONTEMPORARY STATE

2017 ◽  
Vol 20 (3) ◽  
pp. 97-114 ◽  
Author(s):  
L.V. Stepanova ◽  
S.A. Igonin
Keyword(s):  
Damage Accumulation ◽  
Damage Mechanics ◽  
Continuum Damage Mechanics ◽  
Damage Parameter ◽  
Continuum Damage ◽  
Damage State ◽  
Detailed Review ◽  
Contemporary State ◽  
Historical Remarks

In the paper the detailed review of the present-day results related to problems of continuum damage mechanics is given. The survey shows the development of ideas of Y.N. Rabotnov who together with L.M. Kachanov introduced damage and continuity variables which characterize the damage state. In the paper the recent studies in the elasticity, plasticity and creep theories accounting for damage accumulation processes are discussed.

Development of structural analysis program for non-linear elasticity by continuum damage mechanics

2001 ◽  
Vol 206 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Yoshiyuki Kaji ◽  
Wenwei Gu ◽  
Masahiro Ishihara ◽  
Taketoshi Arai ◽  
Hitoshi Nakamura
Keyword(s):  
Structural Analysis ◽  
Linear Elasticity ◽  
Damage Mechanics ◽  
Continuum Damage Mechanics ◽  
Continuum Damage ◽  
Analysis Program ◽  
Non Linear
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