Abstract
This chapter serves to introduce and discuss the method of invariant integrals using some well-known laws of physics. This method is applied to derive and calculate the buoyancy principle (Archimedes), the force of inertia and motion laws (Newton and Galileo), Einstein’s equation connecting mass and energy, the law of gravity (Newton), the lift force of wings and the theory of flight (Kutta and Joukowski), the driving force of dislocations and foreign atoms in elastic materials (Peach, Koehler, and Eshelby), and Coulomb’s Law of the interaction force of electric charges. This chapter is for everybody interested in physics.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Literature
G.P. Cherepanov, The invariant integral of physical mesomechanics as the foundation of mathematical physics: some applications to cosmology, electrodynamics, mechanics and geophysics. Phys. Mesomech. 18(3), 203–212 (2015)
G.P. Cherepanov, Mechanics of Brittle Fracture (McGraw Hill, New York, 1978), pp. 1–940
G.P. Cherepanov, The mechanics and physics of fracturing: application to thermal aspects of crack propagation and to fracking. Philos. Trans. A, R. Soc. A373, 2014.0119 (2015)
G.P. Cherepanov, Methods of Fracture Mechanics: Solid Matter Physics (Kluwer Publisher, Dordrecht, 1997), pp. 1–300
G.P. Cherepanov, Some new applications of the invariant integrals of mechanics. J. Appl. Math. Mech. (JAMM) 76(5), 519–536 (2012)
G.P. Cherepanov, Fracture Mechanics (IKI Publishers, Izhevsk-Moscow, 2012), pp. 1–870
G.P. Cherepanov, Invariant integrals in continuum mechanics. Sov. Appl. Mech. 26(1), 3–16 (1990)
G.P. Cherepanov (ed.), FRACTURE. A Topical Encyclopedia of Current Knowledge (Krieger, Malabar), pp. 1–870, 1998
G.P. Cherepanov, A neoclassic approach to cosmology based on the invariant integral, Chapter 1. In: Horizons in World Physics (Nova Publishers, New York, 2017), pp. 1–33
R.G. Lerner, G.L. Trigg, (ed.), Encyclopedia of Physics (New York, VCH, 1991), pp. 1–1408
L.D. Landau, E.M. Lifshitz, Fluid Mechanics (Pergamon, New York, 1987), pp. 1–730
L.D. Landau, E.M. Lifshitz, Electrodynamics of Continuous Media (Addison-Wesley, Reading, 1960), pp. 1–870
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Cherepanov, G.P. (2019). The Laws of Classical Physics. In: Invariant Integrals in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-28337-7_1
Download citation
DOI: https://doi.org/10.1007/978-3-030-28337-7_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-28336-0
Online ISBN: 978-3-030-28337-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)