Abstract
In this chapter the mechanical fundamentals behind the numerical applications presented in this work are developed. Firstly it is present a brief exposition of the used continuum formulation, where the solid kinematics and constitutive equations are shown. Following it is presented the used weak form and the consequent generated discrete equation system. Next, the dynamic analysis equations are presented and transient analysis basic concepts are introduced.
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
References
Fung YC (1965) Foundations of solid mechanics. Englwood Cliffs, Prentice-Hall, New Jersey, USA
Malvern LE (1969) Introduction of the Mechanics of a Continuous Medium. Englwood Cliffs, Prentice-Hall, New Jersey, USA
Hodge PG (1970) Continuum mechanics. Mc Graw-Hill, New York
Lekhnitskii SG (1968) Anisotropic Plates. Gordon and Breach Science Publishers, New York-London-Paris
Timoshenko S, Goodier JN (1970) Theory of Elasticity. 3rd ed. Singapore, McGraw Hill
Reddy JN (1986) Applied functional analysis and variational methods in engineering. McGraw-Hill, Singapore
Bathe KJ (1996) Finite element procedures. Prentice-Hall, Englewood Cliffs
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Belinha, J. (2014). Solid Mechanics Fundamentals. In: Meshless Methods in Biomechanics. Lecture Notes in Computational Vision and Biomechanics, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-319-06400-0_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-06400-0_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06399-7
Online ISBN: 978-3-319-06400-0
eBook Packages: EngineeringEngineering (R0)