sdf.CylinderZ Class Reference

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
	Yc
	Zc
	xc
	yc
	zc
	radius
	normal
	dNormal

Detailed Description

Definition at line 37 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

Definition at line 104 of file sdf.py.

normal

sdf.CylinderZ.normal

Definition at line 103 of file sdf.py.

radius

sdf.CylinderZ.radius

Definition at line 97 of file sdf.py.

Xc

sdf.CylinderZ.Xc

Definition at line 87 of file sdf.py.

xc

sdf.CylinderZ.xc

Definition at line 92 of file sdf.py.

Yc

sdf.CylinderZ.Yc

Definition at line 88 of file sdf.py.

yc

sdf.CylinderZ.yc

Definition at line 93 of file sdf.py.

Zc

sdf.CylinderZ.Zc

Definition at line 89 of file sdf.py.

zc

sdf.CylinderZ.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