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The mechanical properties of cobalt may be improved by incorporating fine particles of tungsten carbide (WC). Given that the moduli of elasticity of these materials are, respectively, 200 GPa ( psi) and 700 GPa psi), plot modulus of elasticity versus the volume percent of WC in Co from 0 to 100 vol%, using both upper- and lowerbound expressions.

Respuesta :

Answer:

the graphic is in the attached file.

Explanation:

The upper bound of the modulus of elasticity of the composite is

[tex]E_{c} =E_{m} V_{m} +E_{p} V_{p}[/tex]

where

Em = elastic modulus of cobalt

Ep = elastic modulus of tungsten

Vm = volume fraction of cobalt

Vp = volumen fraction of tungsten

replacing values

[tex]E_{c} =200V_{m} +700V_{p}[/tex]

the lower bound of the modulus of elasticity of the composite is

[tex]E_{cl} =\frac{E_{m}E_{p} }{V_{m}E_{p}+V_{p}E_{m} } =\frac{200*700}{700V_{m}+200V_{p} } =\frac{1400}{7V_{m}+2V_{p} }[/tex]

in the Excel file you will find the calculations and the graph of the upper and lower bound of the modulus of elasticity

Ver imagen lcoley8

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