Solid mechanics (also known as mechanics of solids) is the branch of continuum mechanics that studies the behavior of solid materials, especially their motion and deformation under the action of forces, temperature changes, phase changes, and other external or internal agents.

Solid mechanics is fundamental for civil, aerospace, nuclear, biomedical and mechanical engineering, for geology, and for many branches of physics and chemistry such as materials science.

  • 1638: Galileo Galilei published the book "Two New Sciences" in which he examined the failure of simple structures

thumb|upright| [[Galileo Galilei published the book "Two New Sciences" in which he examined the failure of simple structures]]

  • 1660: Hooke's law by Robert Hooke
  • 1687: Isaac Newton published "Philosophiae Naturalis Principia Mathematica" which contains Newton's laws of motion

right|thumb|upright| [[Isaac Newton published "Philosophiae Naturalis Principia Mathematica" which contains the Newton's laws of motion]]

  • 1750: Euler–Bernoulli beam equation
  • 1700–1782: Daniel Bernoulli introduced the principle of virtual work
  • 1707–1783: Leonhard Euler developed the theory of buckling of columns

thumb|upright| [[Leonhard Euler developed the theory of buckling of columns]]

  • 1826: Claude-Louis Navier published a treatise on the elastic behaviors of structures
  • 1873: Carlo Alberto Castigliano presented his dissertation "Intorno ai sistemi elastici", which contains his theorem for computing displacement as partial derivative of the strain energy. This theorem includes the method of least work as a special case
  • 1874: Otto Mohr formalized the idea of a statically indeterminate structure.
  • 1922: Timoshenko corrects the Euler–Bernoulli beam equation
  • 1936: Hardy Cross' publication of the moment distribution method, an important innovation in the design of continuous frames.
  • 1941: Alexander Hrennikoff solved the discretization of plane elasticity problems using a lattice framework
  • 1942: R. Courant divided a domain into finite subregions
  • 1956: J. Turner, R. W. Clough, H. C. Martin, and L. J. Topp's paper on the "Stiffness and Deflection of Complex Structures" introduces the name "finite-element method" and is widely recognized as the first comprehensive treatment of the method as it is known today

See also

  • Strength of materials - Specific definitions and the relationships between stress and strain.
  • Applied mechanics
  • Materials science
  • Continuum mechanics
  • Fracture mechanics
  • Impact (mechanics)
  • Solid-state physics
  • Rigid body

References

Notes

Bibliography

  • L.D. Landau, E.M. Lifshitz, Course of Theoretical Physics: Theory of Elasticity Butterworth-Heinemann,
  • J.E. Marsden, T.J. Hughes, Mathematical Foundations of Elasticity, Dover,
  • P.C. Chou, N. J. Pagano, Elasticity: Tensor, Dyadic, and Engineering Approaches, Dover,
  • R.W. Ogden, Non-linear Elastic Deformation, Dover,
  • S. Timoshenko and J.N. Goodier," Theory of elasticity", 3d ed., New York, McGraw-Hill, 1970.
  • G.A. Holzapfel, Nonlinear Solid Mechanics: A Continuum Approach for Engineering, Wiley, 2000
  • A.I. Lurie, Theory of Elasticity, Springer, 1999.
  • L.B. Freund, Dynamic Fracture Mechanics, Cambridge University Press, 1990.
  • R. Hill, The Mathematical Theory of Plasticity, Oxford University, 1950.
  • J. Lubliner, Plasticity Theory, Macmillan Publishing Company, 1990.
  • J. Ignaczak, M. Ostoja-Starzewski, Thermoelasticity with Finite Wave Speeds, Oxford University Press, 2010.
  • D. Bigoni, Nonlinear Solid Mechanics: Bifurcation Theory and Material Instability, Cambridge University Press, 2012.
  • Y. C. Fung, Pin Tong and Xiaohong Chen, Classical and Computational Solid Mechanics, 2nd Edition, World Scientific Publishing, 2017, .

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