From 90ff1d62e3e300a8351545429ae2884f9556b679 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Olli=20V=C3=A4in=C3=B6l=C3=A4?= Date: Wed, 11 Nov 2015 13:19:05 +0200 Subject: [PATCH] Von mises with hardening --- ...24-Von Mises material with hardening.ipynb | 63 +++++++++++-------- 1 file changed, 38 insertions(+), 25 deletions(-) diff --git a/notebooks/2015-09-24-Von Mises material with hardening.ipynb b/notebooks/2015-09-24-Von Mises material with hardening.ipynb index bc620ab..0dc9725 100644 --- a/notebooks/2015-09-24-Von Mises material with hardening.ipynb +++ b/notebooks/2015-09-24-Von Mises material with hardening.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Von Mises material with nonlinear isotropic and kinematic hardening\n", + "# Von Mises material with isotropic and kinematic hardening\n", "\n", "Author(s): Olli Väinölä \n", "\n", @@ -72,7 +72,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -89,7 +89,7 @@ " 0.0 0.0 0.0 0.0 0.0 1.53846e5" ] }, - "execution_count": 2, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -145,7 +145,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 178, "metadata": { "collapsed": false }, @@ -156,7 +156,7 @@ "calculate_stress (generic function with 1 method)" ] }, - "execution_count": 3, + "execution_count": 178, "metadata": {}, "output_type": "execute_result" } @@ -269,18 +269,23 @@ " σ_shifted = vec(σ_new - X)\n", " \n", " # Creating wrapper for gradient\n", - " vars = dfdσ(σ_shifted)\n", - " dΨdσ = vars[1:6]\n", + " dΨdσ = dfdσ(σ_shifted)[1:6]\n", "\n", " # Calculating plastic strain rate\n", " dϵp = dλ * dΨdσ\n", "\n", - " # Calculating material evolution variables\n", + " # Updating material parameters\n", " ϵp_new = ϵp + dϵp\n", + " dp = sqrt(2 / 3 * double_contraction(dϵp))\n", + " p_test = p + dp\n", + " \n", + " # new hardening variables\n", + " R_ = R(p_test)\n", + " X_ = fX(ϵp_new)\n", "\n", " # Evaluating equations\n", " function_1 = dσ - C * (dϵ - dϵp)\n", - " function_2 = yield(σ_shifted)\n", + " function_2 = vonMisesYield(σ_new - X_, R_)\n", " [vec(function_1); function_2]\n", "end\n", "\n", @@ -344,7 +349,7 @@ " # Calculating yield\n", " yield = vonMisesYield(σ_tria - X, R(p))\n", "\n", - " if yield > 1\n", + " if yield > 0\n", " # Yielding happened\n", " # Creating functions for newton: xₙ₊₁ = xₙ - df⁻¹ * f and initial values\n", " initial_guess = [vec(σ_tria - σ); 0.1]\n", @@ -353,10 +358,10 @@ " \n", " # Calculating root \n", " result = nlsolve(not_in_place(f, df), initial_guess).zero\n", + " \n", " # Extracting values\n", " σ += result[1:6] \n", " dλ = result[end]\n", - " \n", " # Wrapper for gradient\n", " yield_f(σ_) = vonMisesYield(σ_, R(p))\n", " dfdσ_ = ForwardDiff.gradient(yield_f)\n", @@ -366,7 +371,7 @@ " dϵᵖ = dλ * dΨdσ\n", " ϵp = ϵp + dϵᵖ\n", " \n", - " # Updating material parameters\n", + " # Updating matrial parameters\n", " dp = sqrt(2/3 * double_contraction(dϵᵖ))\n", " p += dp\n", " X = fX(ϵp)\n", @@ -388,7 +393,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 192, "metadata": { "collapsed": false }, @@ -402,9 +407,9 @@ } ], "source": [ - "steps = 10000\n", - "strain_max = 0.004\n", - "num_cycles = 50\n", + "steps = 1000\n", + "strain_max = 0.003\n", + "num_cycles = 5\n", "\n", "ϵ_tot = zeros(Float64, (steps, 6))\n", "ϵ_tot2 = zeros(Float64, (steps, 6))\n", @@ -428,7 +433,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 193, "metadata": { "collapsed": false }, @@ -439,7 +444,7 @@ "kinematic_hardening (generic function with 1 method)" ] }, - "execution_count": 18, + "execution_count": 193, "metadata": {}, "output_type": "execute_result" } @@ -450,7 +455,7 @@ "end\n", "\n", "function kinematic_hardening(ϵp, C)\n", - " return C * ϵp\n", + " return 2/3 * C * ϵp\n", "end" ] }, @@ -467,7 +472,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 195, "metadata": { "collapsed": false, "scrolled": false @@ -475,9 +480,9 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ - "PyPlot.Figure(PyObject )" + "PyPlot.Figure(PyObject )" ] }, "metadata": {}, @@ -497,7 +502,7 @@ "σy = 200.0 # yield limit\n", "\n", "# Kinematic hardening\n", - "Ck = 4000.0 # saturation hardening C/D\n", + "Ck = 2000.0 # saturation hardening C/D\n", "X = zeros(Float64, 6) # kinematic hardening tensor\n", "\n", "p = 0.0 # Accumulated plastic strain\n", @@ -508,11 +513,10 @@ "# kinematic hardening\n", "fX(ϵp) = kinematic_hardening(ϵp, Ck)\n", "\n", - "ϵp = zeros(Float64, 6)\n", "for i=1:steps\n", " # Actual calculation\n", " dϵ = reshape(ϵ_tot[i, :, :], (6, 1)) - ϵ_last\n", - " p, X, σ, ϵp = calculate_stress(dϵ, σ, C, p, X, R, fX, ϵp)\n", + " p, X, σ, ϵᵖ = calculate_stress(dϵ, σ, C, p, X, R, fX, ϵᵖ)\n", " ϵ_last += dϵ\n", " push!(ss, σ[1])\n", " push!(ee, ϵ_last[1])\n", @@ -525,6 +529,15 @@ "PyPlot.grid()" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": null,