Adhesion
Normal Adhesion Potential
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double ipc::normal_adhesion_potential(const double d,
const double dhat_p, const double dhat_a, const double a2)
The normal adhesion potential.
- Parameters:
- const double d
distance
- const double dhat_p
distance of largest adhesion force ( \(\hat{d}_p\)) where \(0 < \hat{d}_p < \hat{d}_a\)
- const double dhat_a
adhesion activation distance ( \(\hat{d}_a\))
- const double a2
adjustable parameter relating to the maximum derivative of a ( \(a_2\))
- Returns:
The normal adhesion potential.
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double ipc::normal_adhesion_potential_first_derivative(
const double d, const double dhat_p, const double dhat_a,
const double a2)
The first derivative of the normal adhesion potential wrt d.
- Parameters:
- const double d
distance
- const double dhat_p
distance of largest adhesion force ( \(\hat{d}_p\)) where \(0 < \hat{d}_p < \hat{d}_a\)
- const double dhat_a
adhesion activation distance ( \(\hat{d}_a\))
- const double a2
adjustable parameter relating to the maximum derivative of a ( \(a_2\))
- Returns:
The first derivative of the normal adhesion potential wrt d.
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double ipc::normal_adhesion_potential_second_derivative(
const double d, const double dhat_p, const double dhat_a,
const double a2)
The second derivative of the normal adhesion potential wrt d.
- Parameters:
- const double d
distance
- const double dhat_p
distance of largest adhesion force ( \(\hat{d}_p\)) where \(0 < \hat{d}_p < \hat{d}_a\)
- const double dhat_a
adhesion activation distance ( \(\hat{d}_a\))
- const double a2
adjustable parameter relating to the maximum derivative of a ( \(a_2\))
- Returns:
The second derivative of the normal adhesion potential wrt d.
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double ipc::max_normal_adhesion_force_magnitude(
const double dhat_p, const double dhat_a, const double a2)
The maximum normal adhesion force magnitude.
- Parameters:
- const double dhat_p
distance of largest adhesion force ( \(\hat{d}_p\)) where \(0 < \hat{d}_p < \hat{d}_a\)
- const double dhat_a
adhesion activation distance ( \(\hat{d}_a\))
- const double a2
adjustable parameter relating to the maximum derivative of a ( \(a_2\))
- Returns:
The maximum normal adhesion force magnitude.
Tangential Adhesion Potential
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double ipc::tangential_adhesion_f0(
const double y, const double eps_a)
The tangential adhesion mollifier function.
- Parameters:
- const double y
The tangential relative speed.
- const double eps_a
Velocity threshold below which static adhesion force is applied.
- Returns:
The tangential adhesion mollifier function at y.
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double ipc::tangential_adhesion_f1(
const double y, const double eps_a)
The first derivative of the tangential adhesion mollifier function.
- Parameters:
- const double y
The tangential relative speed.
- const double eps_a
Velocity threshold below which static adhesion force is applied.
- Returns:
The first derivative of the tangential adhesion mollifier function at y.
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double ipc::tangential_adhesion_f2(
const double y, const double eps_a)
The second derivative of the tangential adhesion mollifier function.
- Parameters:
- const double y
The tangential relative speed.
- const double eps_a
Velocity threshold below which static adhesion force is applied.
- Returns:
The second derivative of the tangential adhesion mollifier function at y.
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double ipc::tangential_adhesion_f1_over_x(
const double y, const double eps_a)
The first derivative of the tangential adhesion mollifier function divided by y.
- Parameters:
- const double y
The tangential relative speed.
- const double eps_a
Velocity threshold below which static adhesion force is applied.
- Returns:
The first derivative of the tangential adhesion mollifier function divided by y.
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double ipc::tangential_adhesion_f2_x_minus_f1_over_x3(
const double y, const double eps_a)
The second derivative of the tangential adhesion mollifier function times y minus the first derivative all divided by y cubed.
- Parameters:
- const double y
The tangential relative speed.
- const double eps_a
Velocity threshold below which static adhesion force is applied.
- Returns:
The second derivative of the tangential adhesion mollifier function times y minus the first derivative all divided by y cubed.
Last update:
Dec 03, 2024