Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces

Keywords

Classification of discontinuities, Elasticity (physics), Range (aeronautics), Classical mechanics, Materials science

References

• Leçons sur la propagation des ondes et les equations de l'hydrodynamiqueJacques Hadamard — 2015
• Quasicontinuum simulation of fracture at the atomic scaleRonald E. Miller, Ellad B. Tadmor, Rob Phillips — 1998
• A comparison of the fracture criteria of griffith and barenblattJ.R. Willis — 1967
• On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostaticsJonathan C. Knowles, Eli Sternberg — 1978
• A molecular dynamics investigation of rapid fracture mechanicsFarid F. Abraham, D. Brodbeck, W. E. Rudge — 1997
• The embedded-atom method: a review of theory and applicationsMurray S. Daw, Stephen M. Foiles, M. I. Baskes — 1993
• On nonlocal elasticityA. Cemal Eringen, Dominic G. B. Edelen — 1972
• Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bondsHuajian Gao, Patrick Klein — 1998
• Crack-tip problem in non-local elasticityA. Cemal Eringen, Charles G. Speziale, B.S. Kim — 1977
• Mathematical theory of elasticityI. S. Sokolnikoff — 1946
• CHAPTER IV. POISSON.Todhunter, I., Pearson, K. — 1886
• Some Considerations of the Relation between Solid State Physics and Generalized Continuum MechanicsJ. Krumhansl — 1968

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• Peridynamic Modeling of Ruptures in BiomembranesKatherine Martin — 2016
• Enhanced integration methods for the peridynamic theory.Kihwan Yu — 2011
• Peridynamic modeling of plain and reinforced concrete structures.Stewart Silling, Walter Gerstle, Nicolás Sau — 2005
• Scalability of fixed-radius searching in meshless methods for heterogeneous architecturesLeRoi Vincent Pols — 2014
• ADAPTIVE REFINEMENT AND MULTISCALEMODELING IN 2D PERIDYNAMICSFlorin Bobaru, Youn Doh Ha — 2011
• Dynamic Brittle Fracture Captured with Peridynamics: Crack Branching Angle & Crack Propagation SpeedYoun Doh Ha, Seonho Cho — 2011
• On the similarity of Peridynamics and Smooth-Particle HydrodynamicsGeorg Ganzenmüller, Stefan Hiermaier, Michael May — 2014
• An Assessment of Peridynamics for Pre and Post Failure DeformationRichard Becker, R.J. Lucas — 2011
• Coupling of Peridynamics and Finite Element Formulation for Multiscale SimulationsJung-Wuk Hong — 2012
• Peridynamic modeling of damage and fracture in EM windows and domesIbrahim Güven, Brian J. Zelinski — 2015
• Peridynamic theory of solids from the perspective of classical statistical mechanicsRezwanur Rahman, John T. Foster — 2015
• Role of impactor properties on the computational simulation of particle impact damage in transparent ceramic windowsRobert W. Schultz, Ibrahim Güven, Brian J. Zelinski — 2015
• Peridynamic simulation of the effects of coatings, substrate properties, incident angle, and tilt on sand impact damage in transparent ceramic windowsShanna Tune, Robert W. Schultz, Ibrahim Güven — 2015
• On the force-displacement characteristics of finite elements for elasticity and related problemsJ. N. Reddy, Arun R. Srinivasa — 2015
• Plane stress problems in nonlocal elasticity: finite element solutions with a strain-difference-based formulationP. Fuschi, A.A. Pisano, Dario De Domenico — 2015
• Structure and defects in high-performance aramid fibersJan K. Clawson — 2014
• Peridynamics for bending of beams and plates with transverse shear deformationCagan Diyaroglu, Erkan Oterkus, Selda Oterkus — 2015

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