sdf_ydirection.Sphere Class Reference

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

Public Attributes
	t
	Xc
	Yc
	Zc
	xc
	yc
	zc
	radius

Detailed Description

Definition at line 104 of file sdf_ydirection.py.

Constructor & Destructor Documentation

__init__() [1/2]

sdf_ydirection.Sphere.__init__	(		self,
			Xc,
			Yc,
			Zc,
			diameter,
			indentationDepth
	)

Definition at line 105 of file sdf_ydirection.py.

    def __init__(self, Xc, Yc, Zc, diameter, indentationDepth):
        # Initial time
        self.t = 0
 
        # 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__() [2/2]

sdf_ydirection.Sphere.__init__	(		self,
			Xc,
			Yc,
			Zc,
			diameter,
			indentationDepth
	)

Definition at line 105 of file sdf_ydirection.py.

    def __init__(self, Xc, Yc, Zc, diameter, indentationDepth):
        # Initial time
        self.t = 0
 
        # 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() [1/2]

sdf_ydirection.Sphere.gradSdf	(		self,
			x,
			y,
			z
	)

Definition at line 125 of file sdf_ydirection.py.

    def gradSdf(self, x, y, z):
        a = (x-self.xc)**2 + (y-self.yc)**2 + (z-self.zc)**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 = c_val_A * (z-self.zc)
        # 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() [2/2]

sdf_ydirection.Sphere.gradSdf	(		self,
			x,
			y,
			z
	)

Definition at line 125 of file sdf_ydirection.py.

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

hessSdf() [1/2]

sdf_ydirection.Sphere.hessSdf	(		self,
			x,
			y,
			z
	)

Definition at line 134 of file sdf_ydirection.py.

    def hessSdf(self, x, y, z):
        x, y, z = x-self.xc, y-self.yc, z-self.zc
        denom = (x**2 + y**2 + z**2)**(3/2)
        sqrt_denom = np.sqrt(x**2 + y**2 + z**2)
        Hxx = -x**2/denom + 1/sqrt_denom
        Hzx = -x*z/denom
        Hxy = -x*y/denom
        Hyy = -y**2/denom + 1/sqrt_denom
        Hzy = -y*z/denom
        Hzz = -z**2/denom + 1/sqrt_denom
        # xx, yx, zx, yy, zy, zz
        return np.hstack([Hxx.reshape((-1,1)), Hxy.reshape((-1,1)), Hzx.reshape((-1,1)), Hyy.reshape((-1,1)), Hzy.reshape((-1,1)), Hzz.reshape((-1,1))])
  
# Define Indenter motion    

hessSdf() [2/2]

sdf_ydirection.Sphere.hessSdf	(		self,
			x,
			y,
			z
	)

Definition at line 134 of file sdf_ydirection.py.

    def hessSdf(self, x, y, z):
        x, y, z = x-self.xc, y-self.yc, z-self.zc
        denom = (x**2 + y**2 + z**2)**(3/2)
        sqrt_denom = np.sqrt(x**2 + y**2 + z**2)
        Hxx = -x**2/denom + 1/sqrt_denom
        Hzx = -x*z/denom
        Hxy = -x*y/denom
        Hyy = -y**2/denom + 1/sqrt_denom
        Hzy = -y*z/denom
        Hzz = -z**2/denom + 1/sqrt_denom
        # xx, yx, zx, yy, zy, zz
        return np.hstack([Hxx.reshape((-1,1)), Hxy.reshape((-1,1)), Hzx.reshape((-1,1)), Hyy.reshape((-1,1)), Hzy.reshape((-1,1)), Hzz.reshape((-1,1))])
  
# Define Indenter motion    

sDF() [1/2]

sdf_ydirection.Sphere.sDF	(		self,
			x,
			y,
			z
	)

Definition at line 122 of file sdf_ydirection.py.

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

sDF() [2/2]

sdf_ydirection.Sphere.sDF	(		self,
			x,
			y,
			z
	)

Definition at line 122 of file sdf_ydirection.py.

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

Member Data Documentation

radius

sdf_ydirection.Sphere.radius

Definition at line 120 of file sdf_ydirection.py.

t

sdf_ydirection.Sphere.t

Definition at line 107 of file sdf_ydirection.py.

Xc

sdf_ydirection.Sphere.Xc

Definition at line 110 of file sdf_ydirection.py.

xc

sdf_ydirection.Sphere.xc

Definition at line 115 of file sdf_ydirection.py.

Yc

sdf_ydirection.Sphere.Yc

Definition at line 111 of file sdf_ydirection.py.

yc

sdf_ydirection.Sphere.yc

Definition at line 116 of file sdf_ydirection.py.

Zc

sdf_ydirection.Sphere.Zc

Definition at line 112 of file sdf_ydirection.py.

zc

sdf_ydirection.Sphere.zc

Definition at line 117 of file sdf_ydirection.py.

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

• users_modules/multifield-thermoplasticity-private/tutorials/adv-1/sdf_files/sdf_ydirection.py