Search Results - ((mathematical methods) OR (mathematical models)) of classical mechanics
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Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds
Published 2017Subjects: Full-text access
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Internal Variables in Thermoelasticity
Published 2017Subjects: Full-text access
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Mathematical Modeling and Applications in Nonlinear Dynamics
Published 2016Full-text access
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A Primer on the Kinematics of Discrete Elastic Rods
Published 2018Full-text access
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Dynamics of Mechanical Systems with Non-Ideal Excitation
Published 2018Full-text access
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Handbook of Peridynamic Modeling.
Published 2016Table of Contents: “…-- 1.1 The mixed blessing of locality -- 1.2 Origins of nonlocality in a model -- 1.2.1 Long-range forces -- 1.2.2 Coarsening a fine-scale material system -- 1.2.3 Smoothing of a heterogeneous material system -- 1.3 Nonlocality at the macroscale -- 1.4 The mixed blessing of nonlocality -- References -- 2 Introduction to Peridynamics -- 2.1 Equilibrium in terms of integral equations -- 2.2 Material modeling -- 2.2.1 Bond-based materials -- 2.2.2 Relation between bond densities and flux -- 2.2.3 Peridynamic states -- 2.2.4 Ordinary state-based materials -- 2.2.5 Correspondence materials -- 2.2.6 Discrete particles as peridynamic bodies -- 2.2.7 Setting the horizon -- 2.2.8 Linearized peridynamics -- 2.3 Plasticity -- 2.3.1 Bond-based microplastic material -- 2.3.2 LPS material with plasticity -- 2.4 Damage and fracture -- 2.4.1 Damage in bond-based models -- 2.4.2 Damage in ordinary state-based material models -- 2.4.3 Damage in correspondence material models -- 2.4.4 Nucleation strain -- 2.5 Treatment of boundaries and interfaces -- 2.5.1 Bond-based materials -- 2.5.2 State-based materials -- 2.6 Emu numerical method -- 2.7 Conclusions -- References -- II: Mathematics, Numerics, and Software Tools of Peridynamics -- 3 Nonlocal Calculus of Variations and Well-Posedness of Peridynamics -- 3.1 Introduction -- 3.2 A brief review of well-posedness results -- 3.3 Nonlocal balance laws and nonlocal vector calculus -- 3.4 Nonlocal calculus of variations- an illustration -- 3.5 Nonlocal calculus of variations- further discussions -- 3.6 Summary -- References -- 4 Local Limits and Asymptotically Compatible Discretizations.…”
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A Smooth and Discontinuous Oscillator Theory, Methodology and Applications /
Published 2017Subjects: Full-text access
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A Finite Element Primer for Beginners The Basics /
Published 2018Full-text access
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