Combing the three equations, \(\sqrt{((\frac{σ_z-σ_x}{2})^2+τ_{xz}^2))} -\frac{σ_z+σ_x}{2} sinφ=c cosφ\), \(\frac{∂σ_x}{∂x}+\frac{∂τ_{xz}}{∂z}=0\), and \(\frac{∂τ_{xz}}{∂x}+\frac{∂σ_x}{∂z}+γ=0\), lead to the equation called ___________

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Combing the three equations, \(\sqrt{((\frac{σ_z-σ_x}{2})^2+τ_{xz}^2))} -\frac{σ_z+σ_x}{2} sinφ=c cosφ\), \(\frac{∂σ_x}{∂x}+\frac{∂τ_{xz}}{∂z}=0\), and \(\frac{∂τ_{xz}}{∂x}+\frac{∂σ_x}{∂z}+γ=0\), lead to the equation called ___________

1 Answer

William · Answer 1 · 2022-02-09T18:24:47+0000

Right choice is (a) Kolter’s equation

Explanation: The material just in the verge of flowing plastically is still in static equilibrium and will satisfy the equations of, \(\frac{∂σ_x}{∂x}+\frac{∂τ_{xz}}{∂z}=0, \,and\, \frac{∂τ_{xz}}{∂x}+\frac{∂σ_x}{∂z}+γ=0.\) These equations with the Mohr Coulomb equation give the Kolter’s equation.

Combing the three equations, \(\sqrt{((\frac{σ_z-σ_x}{2})^2+τ_{xz}^2))} -\frac{σ_z+σ_x}{2} sinφ=c cosφ\), \(\frac{∂σ_x}{∂x}+\frac{∂τ_{xz}}{∂z}=0\), and \(\frac{∂τ_{xz}}{∂x}+\frac{∂σ_x}{∂z}+γ=0\), lead to the equation called ___________

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