Thermo-mechanical fracture study of inhomogeneous cracked solids by the extended isogeometric analysis method

2015 ◽  
Vol 51 ◽  
pp. 123-139 ◽  
Author(s):  
H. Bayesteh ◽  
A. Afshar ◽  
S. Mohammdi
Keyword(s):  
Isogeometric Analysis ◽  
Analysis Method ◽  
Mechanical Fracture ◽  
Fracture Study ◽  
Cracked Solids

A time discontinuous Galerkin isogeometric analysis method for non-Fourier thermal wave propagation problem

2019 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Yang Xia ◽  
Pan Guo
Keyword(s):  
Wave Propagation ◽  
Discontinuous Galerkin ◽  
Heat Wave ◽  
Isogeometric Analysis ◽  
Numerical Instability ◽  
Analysis Method ◽  
Content Type ◽  
Mesh Dependency ◽  
Spurious Oscillations ◽  
Stability And Accuracy

Purpose Numerical instability such as spurious oscillation is an important problem in the simulation of heat wave propagation. The purpose of this study is to propose a time discontinuous Galerkin isogeometric analysis method to reduce numerical instability of heat wave propagation in the medium subjected to heat sources, particularly heat impulse. Design/methodology/approach The essential vectors of temperature and the temporal gradients are assumed to be discontinuous and interpolated individually in the discretized time domain. The isogeometric analysis method is applied to use its property of smooth description of the geometry and to eliminate the mesh-dependency. An artificial damping scheme with proportional stiffness matrix is brought into the final discretized form to reduce the numerical spurious oscillations. Findings The numerical spurious oscillations in the simulation of heat wave propagation are effectively eliminated. The smooth description of geometry with spline functions solves the mesh-dependency problem and improves the numerical precision. Originality/value The time discontinuous Galerkin method is applied within the isogeometric analysis framework. The proposed method is effective in the simulation of the wave propagation problems subjecting to impulse load with numerical stability and accuracy.

Enhanced Discrete Element Method (EDEM) and its Application to Stability Analysis of the Slope with Non-Through Joints

2014 ◽  
Vol 644-650 ◽  
pp. 1539-1542 ◽  
Author(s):  
Yong Zheng Ma ◽  
Ke Jian Cai ◽  
Zhan Tao Li ◽  
Jun Li
Keyword(s):  
Discrete Element Method ◽  
Discrete Element ◽  
Discontinuous Deformation Analysis ◽  
Iteration Step ◽  
Deformation Analysis ◽  
Analysis Method ◽  
Meshfree Approximation ◽  
Discontinuous Deformation ◽  
Cracked Solids ◽  
Element Method

A new enhanced Discrete Element Method (EDEM) for modeling the system composed of cracked solids is developed by coupling the traditional Discontinuous Deformation Analysis method (DDA, a kind of implicit version of DEM) with Moving Least-Squares (MLS) meshfree approximation functions. Tracing crack growth inside fracturing blocks and other related capabilities are available in the postprocessing procedure at each iteration step. Some numerical examples are provided to verify this method, and it is prospective to solve stability problems of the slope with non-through joints and other fracture mechanics problems in a new way.

Stochastic isogeometric analysis method for plate structures with random uncertainty

2019 ◽  
Vol 74 ◽  
pp. 101772 ◽  
Author(s):  
Wenpei Wang ◽  
Guohai Chen ◽  
Dixiong Yang ◽  
Zhan Kang
Keyword(s):  
Isogeometric Analysis ◽  
Analysis Method ◽  
Plate Structures ◽  
Random Uncertainty

Free vibration characteristics of functionally graded structures by an isogeometrical analysis approach

2013 ◽  
Vol 228 (9) ◽  
pp. 1512-1530 ◽  
Author(s):  
Alireza Hassanzadeh Taheri ◽  
Mohammad Hossein Abolbashari ◽  
Behrooz Hassani
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Vibration ◽  
Material Properties ◽  
Isogeometric Analysis ◽  
Vibration Analysis ◽  
Functionally Graded ◽  
Analysis Method ◽  
Graded Structures ◽  
Functionally Graded Structures

An improved methodology based on isogeometric analysis (IGA) approach is suggested to investigate the free vibration characteristics of functionally graded structures. The proposed method, which can be considered as an extension of the isogeometric analysis method to inhomogeneous elasticity, employs a fully isogeometric formulation for construction of the geometry, approximation of the solution as well as modelling the variations of material properties. The gradations of material properties are captured using the same NURBS basis functions employed for geometric and computational modelling by utilization of an interpolation technique. It will be seen that the proposed NURBS-based analysis method constitutes an efficient tool for studying integrated modelling and vibration analysis of functionally graded structures. Some numerical examples of 2D plane elasticity problems are presented and the effects of different types of unidirectional and bidirectional material profiles on dynamic characteristics of functionally graded structures are investigated. The obtained numerical results are verified with available exact elasticity solutions or the results of commercial finite element method software. It is shown that the difficulties encountered in free vibration analysis of functionally graded structures using the conventional finite element method are considerably circumvented by adopting the proposed procedure.

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