تکنیک‌های عددی غنی‌شده: پیاده‌سازی و کاربردها

Enriched Numerical Techniques: Implementation and Applications explores recent advances in enriched numerical techniques, including the extended finite element method, meshfree methods, extended isogeometric analysis and coupled numerical techniques. Techniques for implementation and programming issues are discussed, with other sections discussing applications for enriched numerical techniques in solving a range of engineering problems. The level set methodologies for complex shaped irregularities is presented, as are enriched numerical methodologies for various complex and advanced problems such as Nonlinear Structural Analysis, Fracture and Fatigue in Structures, Elasto-Plastic Crack Growth, Large Deformation Analysis, Frictional Contact Problems, Thermo-Mechanical Problems, Fluid Flow Investigations, Composite Materials and Bio-mechanics.Features explanations on how to use enriched numerical techniques to model problems in fracture mechanics, continuum mechanics, fluid flow, and biomechanicsExplains methods through the use of worked examples throughoutProvides practical advice on how to tackle programming issues Contents List of contributors About the editors Preface 1. Development of level set methodologies for different geometric discontinuities • Danish Ali, Avnish Kumar, S.M. Muzakkir and Mahvash Afzal 2. Higher order enrichment functions for fracture simulation in isotropic and orthotropic material medium • Kishan Dwivedi and Himanshu Pathak 3. Extended finite element method for three-dimensional cracks • Azher Jameel, Qazi Junaid Ashraf, Mumtaz Ahmad and Majid Hameed Koul 4. Extended finite element method for free vibration analyses of cracked plate based on higher order shear deformation theory • Ahmed Raza, Himanshu Pathak and Mohammad Talha 5. Extended finite element method for stability analysis of stiffened trapezoidal composite panels • Mehnaz Rasool, Showkat Ahmad Kanth, Mohd Junaid Mir and Ovais Gulzar 6. Implementation issues in element-free Galerkin method • Azher Jameel, Aazim Shafi Lone, Qazi Junaid Ashraf and G.A. Harmain 7. Enriched element-free Galerkin method for three-dimensional cracks • Azher Jameel, Mohd Junaid Mir, Shuhaib Mushtaq and Mehnaz Rasool 8. Enriched element-free Galerkin method for elastoplastic crack growth in steel alloys • Showkat Ahmad Kanth, G.A. Harmain, Mumtaz Ahmad and Shuhaib Mushtaq 9. Enriched element-free Galerkin method for modeling large elasto-plastic deformations • Ummer Amin Sheikh, Azher Jameel, G.A. Harmain and Mohd Afzal Bhat 10. Modeling of Hertzian contact problems by enriched element-free Galerkin method • Aazim Shafi Lone, Showkat Ahmad Kanth, G.A. Harmain and Ishfaq Amin Maekai 11. Enriched element-free Galerkin method for large elasto-plastic deformations: basic mathematical foundations • Azher Jameel and G.A. Harmain 12. Implementation issues in extended isogeometric analysis • Vibhushit Gupta, Shubham Kumar Verma, Sahil Thappa, Sanjeev Anand, Azher Jameel and Yatheshth Anand 13. Extended isogeometric analysis for modeling strong discontinuities • Vibhushit Gupta, Shubham Kumar Verma, Sanjeev Anand and Yatheshth Anand 14. Extended isogeometric analysis for linear elastic materials under thermomechanical loading • Vibhushit Gupta, Shubham Kumar Verma, Sanjeev Anand, Sahil Thappa, Sanjay Sharma, Azher Jameel and Yatheshth Anand 15. Extended isogeometric analysis for thermal absorber coatings • Sahil Thappa, Shubham Kumar Verma, Vibhushit Gupta, Sanjay Sharma, Yatheshth An and and Sanjeev Anand 16. Enriched techniques for investigating the behavior of structural wood • Ummer Amin Sheikh, Azher Jameel, Mehnaz Rasool and Mohd Junaid Mir 17. Analysis of fracture in a receiver tube of parabolic trough collectors by extended finite element method • Amit Kumar, Vibhushit Gupta, Sanjay Sharma, Yatheshth Anand and Kapil Chopra 18. Extended isogeometric analysis for fracture behavior of isothermally cracked single-walled carbon nanotube-reinforced composite exposed to thermo-mechanical load • Aanchal Yadav, Gagandeep Bhardwaj and R.K. Godara 19. Extended finite element method for the simulation of edge dislocations • Neha Duhan, B.K. Mishra and I.V. Singh Index