After generating a continuum (by mathematically representing a real material), the mechanical behaviour of such continuum can then be studied. This is continuum mechanics - the study of materials' mechanical behaviour using mathematical models.
Solid mechanics and fluid mechanics are two special cases of continuum mechanics.
Showing posts with label continuum. Show all posts
Showing posts with label continuum. Show all posts
March 29, 2013
March 15, 2013
What are Constitutive Equations?
Physical laws of continuum mechanics are valid for any continuum. Constitutive equations are mathematical relationships between kinetics and kinematics quantities of a specific continuum (recall that a continuum is just a mathematical idealisation of a material). In other words, constitutive equations describe the behaviour of a material subjected to certain loading conditions.
Examples
Consider two analyses:
Examples
Consider two analyses:
- With same loading conditions but using two different materials i.e. steel vs. aluminium
- With same material but test at two different temperatures i.e. room temperature vs. 1000ºC
- Differing response for steel and aluminium under the same loading conditions
- In practice, a material is only described over a range of conditions it is expected to encounter. Therefore, constitutive equations are formulated to describe different response of the same material over an acceptable range i.e. two different sets of equations for 10-30ºC and 900-1200ºC temperature range for the above analysis
Labels:
constitutive equations,
continuum,
kinematics,
kinetics
February 08, 2013
What is a Continuum?
In continuum mechanics, a continuum is an idealised mathematical representation of a real material such as solid, liquid or gas.
January 04, 2013
What is Deformation and Flow?
Materials (or continua) are generally classified as solids or fluids. Their main difference is that when subjected to external loading:
- a solid body will undergo time-independent deformation, and
- a fluid body will flow as a function of time.
Video. The shear thickening effect of corn starch mixed with water.
Labels:
continuum,
deformation,
flow,
shear thickening,
shear thinning,
visco
Subscribe to:
Posts (Atom)