diff --git a/notebooks/2015-9-24-Nonlinear Von Mises material.ipynb b/notebooks/2015-9-24-Nonlinear Von Mises material.ipynb index dc92cc5..7d4492e 100644 --- a/notebooks/2015-9-24-Nonlinear Von Mises material.ipynb +++ b/notebooks/2015-9-24-Nonlinear Von Mises material.ipynb @@ -11,6 +11,40 @@ "In this notebook is an small tutorial, how to create a Von Mises material with hardening. Equations are formulated into rate depended form. Code may or may not include some bugs.." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Theory section\n", + "\n", + "### Continuum equations\n", + "\n", + "Stress:\n", + "\n", + "$\\sigma = C : \\epsilon^e$\n", + "\n", + "$C$ is material tensor and $\\epsilon$ total strain.\n", + "Total strain is divided into elastic and plastic part:\n", + "\n", + "$\\epsilon = \\epsilon^e + \\epsilon^p$\n", + "\n", + "now let's define a strain rate, which is strain increment divide with time increment $dt$\n", + "\n", + "$\\frac{d\\epsilon}{dt} = \\dot \\epsilon = \\dot \\epsilon^e + \\dot \\epsilon^p$\n", + "\n", + "Now same procedure for stress and substitute $\\dot \\epsilon^e$\n", + "\n", + "$\\dot \\sigma = C : \\dot \\epsilon^e = C : (\\dot \\epsilon - \\dot \\epsilon^p )$\n", + "\n", + "Only thing to do is to define yield function. Now we're using Von Mises material:\n", + "\n", + "$f(\\sigma - X, R(\\alpha)) = \\sqrt{3J_2(\\sigma-X))} - R(\\alpha)$ = 0\n", + "\n", + "$f(\\sigma, \\sigma_y) = \\sqrt{3J_2(\\sigma))} - \\sigma_y$ = 0\n", + "\n", + "$J_2 = \\frac{1}{6}((\\sigma_{11}-\\sigma_{22})^2+(\\sigma_{22}-\\sigma_{33})^2+(\\sigma_{33}-\\sigma_{11}))^2 + (\\sigma_{12}^2 + \\sigma_{23}^2 + \\sigma_{31}^2)$ \n" + ] + }, { "cell_type": "code", "execution_count": 1, @@ -107,7 +141,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -118,7 +152,7 @@ "calculate_stress (generic function with 1 method)" ] }, - "execution_count": 7, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -305,7 +339,7 @@ "function calculate_stress(dϵ, Δt, σ, C, p, X, R, α, dα, fX)\n", "\n", " # Test stress\n", - " σ_tria = σ + Δt * C * dϵ\n", + " σ_tria = σ + C * dϵ * Δt\n", " \n", " # Calculating yield\n", " yield = vonMisesYield(σ_tria - X, R(p))\n", @@ -437,7 +471,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 6, "metadata": { "collapsed": false, "scrolled": false @@ -447,7 +481,7 @@ "data": { "image/png": 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", "text/plain": [ - "PyPlot.Figure(PyObject )" + "PyPlot.Figure(PyObject )" ] }, "metadata": {},