Application of weight functions in the analysis of three-dimensional problems of fracture mechanics. Communication 1. Theoretical fundamentals

1991 ◽  
Vol 23 (4) ◽  
pp. 444-450
Author(s):  
V. A. Vainshtok
Keyword(s):  
Fracture Mechanics ◽  
Three Dimensional ◽  
Weight Functions

Fracture Mechanics of Thin Plates and Shells Under Combined Membrane, Bending, and Twisting Loads

2005 ◽  
Vol 58 (1) ◽  
pp. 37-48 ◽  
Author(s):  
Alan T. Zehnder ◽  
Mark J. Viz
Keyword(s):  
Fracture Mechanics ◽  
Plate Theory ◽  
Experimental Studies ◽  
Three Dimensional ◽  
Crack Tip ◽  
Thin Plates ◽  
Element Analysis ◽  
Crack Tip Fields ◽  
Plates And Shells ◽  
Membrane Bending

The fracture mechanics of plates and shells under membrane, bending, twisting, and shearing loads are reviewed, starting with the crack tip fields for plane stress, Kirchhoff, and Reissner theories. The energy release rate for each of these theories is calculated and is used to determine the relation between the Kirchhoff and Reissner theories for thin plates. For thicker plates, this relationship is explored using three-dimensional finite element analysis. The validity of the application of two-dimensional (plate theory) solutions to actual three-dimensional objects is analyzed and discussed. Crack tip fields in plates undergoing large deflection are analyzed using von Ka´rma´n theory. Solutions for cracked shells are discussed as well. A number of computational methods for determining stress intensity factors in plates and shells are discussed. Applications of these computational approaches to aircraft structures are examined. The relatively few experimental studies of fracture in plates under bending and twisting loads are also reviewed. There are 101 references cited in this article.

scholarly journals Fracture mechanics of the three-dimensional crack front: vertex singularity versus out of plain constraint descriptions

2010 ◽  
Vol 2 (1) ◽  
pp. 2095-2102 ◽  
Author(s):  
Pavel Hutař ◽  
Martin Ševčík ◽  
Luboš Náhlík ◽  
Michal Zouhar ◽  
Stanislav Seitl ◽  
...  
Keyword(s):  
Fracture Mechanics ◽  
Crack Front ◽  
Three Dimensional ◽  
Vertex Singularity

Advances in Three-Dimensional Fracture Mechanics

2006 ◽  
Vol 312 ◽  
pp. 27-34 ◽  
Author(s):  
Wan Lin Guo ◽  
Chongmin She ◽  
Jun Hua Zhao ◽  
Bin Zhang
Keyword(s):  
Fracture Mechanics ◽  
Deformation Theory ◽  
Three Dimensional ◽  
Unified Theory ◽  
Constraint Factor ◽  
Engineering Structures ◽  
The Past ◽  
Fatigue And Fracture ◽  
Fracture Theory ◽  
Historical Developments

The historical developments of the fracture mechanics from planar theory to threedimensional (3D) theory are reviewed. The two-dimensional (2D) theories of fracture mechanics have been developed perfectly in the past 80 years, and are suitable for some specific cases of engineering applications. However, in the complicated 3D world, the limitation of the 2D fracture theory has become evident with development of the structure toward complication and micromation. In the 1990’s, Guo has proposed the 3D fracture theory with a 3D constraint factor based on the deformation theory and energy theory. The proposed 3D theory can predict accurately the fracture problems for practical and complicated engineering structures with defects, by integrating the 3D theory of fatigue, which has been developed to unify fatigue and fracture. Our efforts to develop the 3D fracture mechanics and the unified theory of 3D fatigue and fracture are summarized, and perspectives for future efforts are outlined.

Fracture Mechanics Analysis of a PWR Under PTS Using XFEM and Input From TRACE

2019 ◽  
Author(s):  
Diego F. Mora ◽  
Roman Mukin ◽  
Oriol Costa Garrido ◽  
Markus Niffenegger
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Fracture Mechanics ◽  
Intensity Factor ◽  
Boundary Conditions ◽  
Three Dimensional ◽  
Element Model ◽  
Integrity Assessment ◽  
Mechanics Analysis ◽  
Dynamic Cooling

Abstract In this paper, an integrity assessment of a reference Reactor Pressure Vessel (RPV) under Pressurized Thermal Shock (PTS) is performed. The assessment is based on a multi-step simulation scheme, which includes the thermo-hydraulic, thermo-mechanical and fracture mechanics analyses. The proposed strategy uses a three dimensional (3D) finite element model (FEM) of the RPV with the Abaqus code to solve the thermo-mechanical problem for the scenario of a Large-Break Loss-of-Coolant Accident (LBLOCA). In order to obtain the boundary conditions for the thermal analysis, the thermo-hydraulic results from a 3D RPV model developed in the system code TRACE are used. The fracture mechanics analysis is carried out on submodels defined on the areas of interest. Submodels containing cracks or flaws are also located in regions of the RPV where there might be a concentration of stresses during the PTS. The calculation of stress intensity factor (SIF) makes use of the eXtended FEM (XFEM) approach. The computed SIF of the postulated cracks at the inner surface of the RPV wall are compared with the ASME fracture toughness curve of the embrittled RPV material. For different transient scenarios, the boundary conditions were previously calculated with a computational fluid dynamics (CFD) model. However, cross-verification of the results has shown consistency of both CFD and TRACE models. Moreover, the use of the later is very convenient for the integrity analyses as it is clearly less computationally expensive than CFD. Therefore, it can be used to calculate different PTS scenarios including different break sizes and break locations. The main findings from fracture mechanics analyses of the RPV subjected to LBLOCA are summarized and compared. The presented results also allow us to study the influence of the dynamic cooling plume on the stress intensity factor in more detail than with the conventional one-dimensional method. However, the plumes calculated with both approaches are different. How much this difference affects the integrity assessment of the RPV is discussed in the paper.

Research on Fatigue Life of the Casting Crane’s Girder

2011 ◽  
Vol 295-297 ◽  
pp. 598-602
Author(s):  
Zhi Cheng Huang
Keyword(s):  
Fatigue Life ◽  
Fracture Mechanics ◽  
Design Method ◽  
Three Dimensional ◽  
Data Access ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Safe Operation

Taken a certain type of casting crane’s girder as research object, established its three-dimensional model by using Pro/ENGINEER software, and then import it into the ANSYS program for analysis with ANSYS data access module (DDA), integrating the analysis results and the theory of fracture mechanics, the thesis comprehensively analyzed the fatigue life of the casting crane’s girder with damnification-limit design method. It provided some theory basis and reference for casting crane’s safe operation and fatigue lift design.

Calculation of weight functions for three-dimensional bodies with cracks

1989 ◽  
Vol 21 (11) ◽  
pp. 1474-1480
Author(s):  
G. P. Nikishkov ◽  
T. A. Chernysh
Keyword(s):  
Three Dimensional ◽  
Weight Functions
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