First Sentence:
Basically, fracture is a process in, or a state of, solid materials being separated due to successive failure of atomic bondings.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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ultimate accuracy attainable, soft mode phonon, discrete dislocation dynamics, mixed basis approach, based loop space, electron stress, regular quantum mechanics, time step integration method, cylindrical functional, homogeneous plastic deformation, quasibrittle fracture, transfer fidelity, multipole expansion method, random field indexed, linear elastic solution, local shear strain, statistical manifolds, ideal fracture, cutting edge radius, computational fracture mechanics, singular trace, undeformed chip thickness, multiple stochastic integrals, mesoscopic dynamics, random vector fields
Key Phrases - Capitalized Phrases (CAPs):
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New York, Lecture Notes, Japan Summary, Verlag Basel, Optional Decomposition Theorem, Monte Carlo, Noether's Theorem, Cambridge University Press, Osaka University, Acta Metall, Analytic Semigroup, Berlin Heidelberg New-York, Academic Press, Tohoku University, Adaptive Machine Systems, European Call Option, Journal of Finance, Mathematics Subject Classification, Ecole Polytechnique, Graduate School of Engineering, John Wiley, Plenum Press, Random Distribution of Dislocation, World Scientific, Boulevard des Coquibus
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