Ejemplo n.º 1
0
func main() {

	// finalise analysis process and catch errors
	defer out.End()
	var sol ana.PressCylin
	sol.Init(fun.Prms{
		&fun.Prm{N: "a", V: 100},
		&fun.Prm{N: "b", V: 200},
		&fun.Prm{N: "E", V: 210},
		&fun.Prm{N: "ν", V: 0.3},
		&fun.Prm{N: "σy", V: 0.24},
		&fun.Prm{N: "P", V: 0.2},
	})

	// start analysis process
	datadir := "$GOPATH/src/github.com/cpmech/gofem/examples/spo751_pressurised_cylinder/"
	out.Start(datadir+"spo751.sim", 0, 0)

	// define entities
	out.Define("A", out.N{0})
	out.Define("B", out.N{20})
	out.Define("bottom", out.Along{{100, 0}, {101, 0}})

	// load results
	out.LoadResults(nil)

	out.Splot("Pressure at inner and outer face")
	out.Plot("ux", "t", "A", plt.Fmt{C: "b", M: ".", L: "inner"}, -1)
	out.Plot("ux", "t", "B", plt.Fmt{C: "r", M: ".", L: "outer"}, -1)

	//out.Splot("radial stress")
	//X, _, _ := out.GetXYZ("ux", "bottom")
	//SR := make([]float64, len(X))
	//ST := make([]float64, len(X))
	//c := sol.Getc()
	//sol.Sig(c, X, SR, ST)

	//out.Plt(X, ST, "bottom", plt.FmtS{"b.-"}, -1)

	// show
	out.Draw("", "", true, nil)
}
Ejemplo n.º 2
0
func plot_spo751(fnkey string) {

	// constants
	nidx := 20 // selected node at outer surface
	didx := 0  // selected  dof index for plot
	nels := 4  // number of elements
	nips := 4  // number of ips

	// selected P values for stress plot
	Psel := []float64{100, 140, 180, 190}
	tolPsel := 2.0    // tolerance to compare P
	GPa2MPa := 1000.0 // conversion factor

	// input data
	Pcen := 200.0         // [Mpa]
	a, b := 100.0, 200.0  // [mm], [mm]
	E, ν := 210000.0, 0.3 // [MPa], [-]
	σy := 240.0           // [MPa]

	// analytical solution
	var sol ana.PressCylin
	sol.Init([]*fun.Prm{
		&fun.Prm{N: "a", V: a}, &fun.Prm{N: "b", V: b},
		&fun.Prm{N: "E", V: E}, &fun.Prm{N: "ν", V: ν},
		&fun.Prm{N: "σy", V: σy},
	})
	np := 41
	P_ana, Ub_ana := sol.CalcPressDisp(np)
	R_ana, Sr_ana, St_ana := sol.CalcStresses(Psel, np)

	// read summary
	sum := ReadSum(Global.Dirout, Global.Fnkey)

	// allocate domain
	distr := false
	d := NewDomain(Global.Sim.Regions[0], distr)
	if !d.SetStage(0, Global.Sim.Stages[0], distr) {
		io.PfRed("plot_spo751: SetStage failed\n")
		return
	}

	// gofem results
	nto := len(sum.OutTimes)
	P := make([]float64, nto)
	Ub := make([]float64, nto)
	R := utl.Deep3alloc(len(Psel), nels, nips)
	Sr := utl.Deep3alloc(len(Psel), nels, nips)
	St := utl.Deep3alloc(len(Psel), nels, nips)
	i := 0
	for tidx, t := range sum.OutTimes {

		// read results from file
		if !d.In(sum, tidx, true) {
			io.PfRed("plot_spo751: cannot read solution\n")
			return
		}

		// collect results for load versus displacement plot
		nod := d.Nodes[nidx]
		eq := nod.Dofs[didx].Eq
		P[tidx] = t * Pcen
		Ub[tidx] = d.Sol.Y[eq]

		// stresses
		if isPsel(Psel, P[tidx], tolPsel) {
			for j, ele := range d.ElemIntvars {
				e := ele.(*ElemU)
				ipsdat := e.OutIpsData()
				for k, dat := range ipsdat {
					res := dat.Calc(d.Sol)
					x, y := dat.X[0], dat.X[1]
					sx := res["sx"] * GPa2MPa
					sy := res["sy"] * GPa2MPa
					sxy := res["sxy"] * GPa2MPa / math.Sqrt2
					R[i][j][k], Sr[i][j][k], St[i][j][k], _ = ana.PolarStresses(x, y, sx, sy, sxy)
				}
			}
			i++
		}
	}

	// auxiliary data for plotting stresses
	colors := []string{"r", "m", "g", "k", "y", "c", "r", "m"}
	markers1 := []string{"o", "s", "x", ".", "^", "*", "o", "s"}
	markers2 := []string{"+", "+", "+", "+", "+", "+", "+", "+"}

	// plot load displacements
	plt.SetForEps(0.8, 300)
	if true {
		//if false {
		plt.Plot(Ub_ana, P_ana, "'b-', ms=2, label='solution', clip_on=0")
		plt.Plot(Ub, P, "'r.--', label='fem: outer', clip_on=0")
		plt.Gll("$u_x\\;\\mathrm{[mm]}$", "$P\\;\\mathrm{[MPa]}$", "")
		plt.SaveD("/tmp", io.Sf("gofem_%s_disp.eps", fnkey))
	}

	// plot radial stresses
	if true {
		//if false {
		plt.Reset()
		for i, Pval := range Psel {
			plt.Plot(R_ana, Sr_ana[i], "'b-'")
			for k := 0; k < nips; k++ {
				for j := 0; j < nels; j++ {
					args := io.Sf("'%s%s'", colors[i], markers1[i])
					if k > 1 {
						args = io.Sf("'k%s', ms=10", markers2[i])
					}
					if k == 0 && j == 0 {
						args += io.Sf(", label='P=%g'", Pval)
					}
					plt.PlotOne(R[i][j][k], Sr[i][j][k], args)
				}
			}
		}
		plt.Gll("$r\\;\\mathrm{[mm]}$", "$\\sigma_r\\;\\mathrm{[MPa]}$", "leg_loc='lower right'")
		plt.AxisXrange(a, b)
		plt.SaveD("/tmp", io.Sf("gofem_%s_sr.eps", fnkey))
	}

	// plot tangential stresses
	if true {
		//if false {
		plt.Reset()
		for i, Pval := range Psel {
			plt.Plot(R_ana, St_ana[i], "'b-'")
			for k := 0; k < nips; k++ {
				for j := 0; j < nels; j++ {
					args := io.Sf("'%s%s'", colors[i], markers1[i])
					if k > 1 {
						args = io.Sf("'k%s', ms=10", markers2[i])
					}
					if k == 0 && j == 0 {
						args += io.Sf(", label='P=%g'", Pval)
					}
					plt.PlotOne(R[i][j][k], St[i][j][k], args)
				}
			}
		}
		plt.Gll("$r\\;\\mathrm{[mm]}$", "$\\sigma_t\\;\\mathrm{[MPa]}$", "leg_loc='upper left'")
		plt.SaveD("/tmp", io.Sf("gofem_%s_st.eps", fnkey))
	}
}