sdf.CylinderZ Class Reference

Collaboration diagram for sdf.CylinderZ:

Public Member Functions
	sDF (r, xc, yc, x, y)
	gradSdf (xc, yc, x, y)
	hessSdf (xc, yc, x, y)
	__init__ (self, Xc, Yc, Zc, diameter)
	sDF (self, x, y, z)
	gradSdf (self, x, y, z)
	hessSdf (self, x, y, z)
	__init__ (self, Xc, Yc, Zc, diameter)
	sDF (self, x, y, z)
	gradSdf (self, x, y, z)
	hessSdf (self, x, y, z)
	__init__ (self, Xc, Yc, Zc, diameter)
	sDF (self, x, y, z)
	gradSdf (self, x, y, z)
	hessSdf (self, x, y, z)

Public Attributes
	Xc = Xc
	Yc = Yc
	Zc = Zc
	xc = Xc
	yc = Yc
	zc = Zc
int	radius = diameter/2
	normal = self.gradSdf(x,y,z)
	dNormal = self.hessSdf(x,y,z)

Detailed Description

Definition at line 84 of file sdf.py.

Constructor & Destructor Documentation

__init__() [1/3]

sdf.CylinderZ.__init__	(		self,
			Xc,
			Yc,
			Zc,
			diameter )

Definition at line 85 of file sdf.py.

    def __init__(self, Xc, Yc, Zc, diameter):
        # Initial Centroid
        self.Xc = Xc
        self.Yc = Yc
        self.Zc = Zc
 
        # Current Centroid
        self.xc = Xc
        self.yc = Yc
        self.zc = Zc
 
        # Indenter Dimensions
        self.radius = diameter/2
 

__init__() [2/3]

sdf.CylinderZ.__init__	(		self,
			Xc,
			Yc,
			Zc,
			diameter )

Definition at line 55 of file sdf.py.

    def __init__(self, Xc, Yc, Zc, diameter):
        # Initial Centroid
        self.Xc = Xc
        self.Yc = Yc
        self.Zc = Zc
 
        # Current Centroid
        self.xc = Xc
        self.yc = Yc
        self.zc = Zc
 
        # Indenter Dimensions
        self.radius = diameter/2
 

__init__() [3/3]

sdf.CylinderZ.__init__	(		self,
			Xc,
			Yc,
			Zc,
			diameter )

Definition at line 85 of file sdf.py.

    def __init__(self, Xc, Yc, Zc, diameter):
        # Initial Centroid
        self.Xc = Xc
        self.Yc = Yc
        self.Zc = Zc
 
        # Current Centroid
        self.xc = Xc
        self.yc = Yc
        self.zc = Zc
 
        # Indenter Dimensions
        self.radius = diameter/2
 

Member Function Documentation

gradSdf() [1/4]

sdf.CylinderZ.gradSdf	(		self,
			x,
			y,
			z )

Definition at line 108 of file sdf.py.

    def gradSdf(self, x, y, z):
        a = (x-self.xc)**2 + (y-self.yc)**2
        c_val = np.sqrt(a)
        c_val_A = 1./c_val
        c_val_dx = c_val_A * (x-self.xc)
        c_val_dy = c_val_A * (y-self.yc)
        c_val_dz = np.zeros_like(c_val_dy)
        # x, y, z
        c_val_dx = c_val_dx.reshape((-1,1))
        c_val_dy = c_val_dy.reshape((-1,1))
        c_val_dz = c_val_dz.reshape((-1,1))
        grad_array = np.hstack([c_val_dx,c_val_dy,c_val_dz])
        return grad_array
    

gradSdf() [2/4]

sdf.CylinderZ.gradSdf	(		self,
			x,
			y,
			z )

Definition at line 72 of file sdf.py.

    def gradSdf(self, x, y, z):
        a = (x-self.xc)**2 + (y-self.yc)**2
        c_val_A = 1./np.sqrt(a)
        c_val_dx = c_val_A * (x-self.xc)
        c_val_dy = c_val_A * (y-self.yc)
        c_val_dz = np.zeros_like(c_val_dy)
        # x, y, z
        return np.hstack([c_val_dx.reshape((-1,1)), c_val_dy.reshape((-1,1)), c_val_dz.reshape((-1,1))])
    

gradSdf() [3/4]

sdf.CylinderZ.gradSdf	(		self,
			x,
			y,
			z )

Definition at line 108 of file sdf.py.

    def gradSdf(self, x, y, z):
        a = (x-self.xc)**2 + (y-self.yc)**2
        c_val = np.sqrt(a)
        c_val_A = 1./c_val
        c_val_dx = c_val_A * (x-self.xc)
        c_val_dy = c_val_A * (y-self.yc)
        c_val_dz = np.zeros_like(c_val_dy)
        # x, y, z
        c_val_dx = c_val_dx.reshape((-1,1))
        c_val_dy = c_val_dy.reshape((-1,1))
        c_val_dz = c_val_dz.reshape((-1,1))
        grad_array = np.hstack([c_val_dx,c_val_dy,c_val_dz])
        return grad_array
    

gradSdf() [4/4]

sdf.CylinderZ.gradSdf	(		xc,
			yc,
			x,
			y )

Definition at line 44 of file sdf.py.

    def gradSdf(xc, yc, x, y):
        a = pow(x-xc, 2)+pow(y-yc, 2)
        c_val = math.sqrt(a)
        c_val_A = 1/c_val
        c_val_dx = c_val_A * (x-xc)
        c_val_dy = c_val_A * (y-yc)
        # x, y, z
        return [c_val_dx, c_val_dy, 0]
    

hessSdf() [1/4]

sdf.CylinderZ.hessSdf	(		self,
			x,
			y,
			z )

Definition at line 122 of file sdf.py.

    def hessSdf(self, x, y, z):
        a = (x-self.xc)**2 + (y-self.yc)**2
        c_val = np.sqrt(a)
        c_val_A = 1./c_val
        c_val_B = 1./(a**(3./2.))
        Hxx = c_val_A - c_val_B * (x-self.xc)**2
        Hxy = -c_val_B * (x-self.xc)*(y-self.yc)
        Hyy = c_val_A - c_val_B * (y-self.yc)**2
 
        Hxx = Hxx.reshape((-1,1))
        Hzx = np.zeros_like(Hxx)
        Hxy = Hxy.reshape((-1,1))
        Hyy = Hyy.reshape((-1,1))
        Hzy = np.zeros_like(Hxx)
        Hzz = np.zeros_like(Hxx)
        hess_array = np.hstack([Hxx, Hxy, Hzx, Hyy, Hzy, Hzz])
 
        return hess_array
 

hessSdf() [2/4]

sdf.CylinderZ.hessSdf	(		self,
			x,
			y,
			z )

Definition at line 81 of file sdf.py.

    def hessSdf(self, x, y, z):
        a = (x-self.xc)**2 + (y-self.yc)**2
        c_val_A = 1./np.sqrt(a)
        c_val_B = 1./(a**(3./2.))
        Hxx = c_val_A - c_val_B * (x-self.xc)**2
        Hxy = -c_val_B * (x-self.xc)*(y-self.yc)
        Hyy = c_val_A - c_val_B * (y-self.yc)**2
        zeros = np.zeros_like(Hxx).reshape((-1,1))
        # Hxx, Hxy, Hzx, Hyy, Hzy, Hzz
        return np.hstack([Hxx.reshape((-1,1)), Hxy.reshape((-1,1)), zeros, Hyy.reshape((-1,1)), zeros, zeros])
 

hessSdf() [3/4]

sdf.CylinderZ.hessSdf	(		self,
			x,
			y,
			z )

Definition at line 122 of file sdf.py.

    def hessSdf(self, x, y, z):
        a = (x-self.xc)**2 + (y-self.yc)**2
        c_val = np.sqrt(a)
        c_val_A = 1./c_val
        c_val_B = 1./(a**(3./2.))
        Hxx = c_val_A - c_val_B * (x-self.xc)**2
        Hxy = -c_val_B * (x-self.xc)*(y-self.yc)
        Hyy = c_val_A - c_val_B * (y-self.yc)**2
 
        Hxx = Hxx.reshape((-1,1))
        Hzx = np.zeros_like(Hxx)
        Hxy = Hxy.reshape((-1,1))
        Hyy = Hyy.reshape((-1,1))
        Hzy = np.zeros_like(Hxx)
        Hzz = np.zeros_like(Hxx)
        hess_array = np.hstack([Hxx, Hxy, Hzx, Hyy, Hzy, Hzz])
 
        return hess_array
 

hessSdf() [4/4]

sdf.CylinderZ.hessSdf	(		xc,
			yc,
			x,
			y )

Definition at line 53 of file sdf.py.

    def hessSdf(xc, yc, x, y):
        a = pow(x-xc, 2)+pow(y-yc, 2)
        c_val = math.sqrt(a)
        c_val_A = 1./c_val
        c_val_B = 1./pow(a, 3./2.)
        c_val_dx_dx = c_val_A - c_val_B * pow(x-xc, 2)
        c_val_dx_dy = -c_val_B * (x-xc)*(y-yc)
        c_val_dy_dy = c_val_A - c_val_B * pow(y-yc, 2)
        # xx, yx, zx, yy, zy, zz
        return [c_val_dx_dx, c_val_dx_dy, 0, c_val_dy_dy, 0, 0]

sDF() [1/4]

sdf.CylinderZ.sDF	(		r,
			xc,
			yc,
			x,
			y )

Definition at line 39 of file sdf.py.

    def sDF(r, xc, yc, x, y):
        a = pow(x-xc, 2)+pow(y-yc, 2)
        c_val = math.sqrt(a)-r
        return c_val
    

sDF() [2/4]

sdf.CylinderZ.sDF	(		self,
			x,
			y,
			z )

Definition at line 99 of file sdf.py.

    def sDF(self, x, y, z):
        a = (x-self.xc)**2 + (y-self.yc)**2
        gap = np.sqrt(a)-self.radius
 
        self.normal = self.gradSdf(x,y,z)
        self.dNormal = self.hessSdf(x,y,z)
 
        return gap
    

sDF() [3/4]

sdf.CylinderZ.sDF	(		self,
			x,
			y,
			z )

Definition at line 69 of file sdf.py.

    def sDF(self, x, y, z):
        return np.sqrt((x - self.xc)**2 + (y - self.yc)**2) - self.radius
    

sDF() [4/4]

sdf.CylinderZ.sDF	(		self,
			x,
			y,
			z )

Definition at line 99 of file sdf.py.

    def sDF(self, x, y, z):
        a = (x-self.xc)**2 + (y-self.yc)**2
        gap = np.sqrt(a)-self.radius
 
        self.normal = self.gradSdf(x,y,z)
        self.dNormal = self.hessSdf(x,y,z)
 
        return gap
    

Member Data Documentation

dNormal

sdf.CylinderZ.dNormal = self.hessSdf(x,y,z)

Definition at line 104 of file sdf.py.

normal

sdf.CylinderZ.normal = self.gradSdf(x,y,z)

Definition at line 103 of file sdf.py.

radius

int sdf.CylinderZ.radius = diameter/2

Definition at line 97 of file sdf.py.

Xc

sdf.CylinderZ.Xc = Xc

Definition at line 87 of file sdf.py.

xc

sdf.CylinderZ.xc = Xc

Definition at line 92 of file sdf.py.

Yc

sdf.CylinderZ.Yc = Yc

Definition at line 88 of file sdf.py.

yc

sdf.CylinderZ.yc = Yc

Definition at line 93 of file sdf.py.

Zc

sdf.CylinderZ.Zc = Zc

Definition at line 89 of file sdf.py.

zc

sdf.CylinderZ.zc = Zc

Definition at line 94 of file sdf.py.

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The documentation for this class was generated from the following files:

• /home/lk58p/mofem_install/vanilla_dev_release/mofem-cephas/jupyter/skel/ukacm_autumn_school_2023/multifield_plasticity/sdf.py
• tutorials/adv-0/sdf.py
• tutorials/adv-1/sdf_files/sdf.py
• users_modules/adolc-plasticity/sdf.py