{ "cells": [ { "cell_type": "markdown", "id": "538f238a", "metadata": {}, "source": [ "# 1 · Building the Deformation Gradient\n", "\n", "Every later tutorial leans on the **deformation gradient** $F$, so here we build it by hand. A\n", "deformation maps each rest point $X$ to a deformed point $x = \\phi(X)$, and $F$ is its Jacobian: a local\n", "linear map that says how a tiny chunk of material around $X$ is stretched and rotated. On a single\n", "triangle the map is **affine**, $x = FX + t$, so $F$ is one constant $2\\times 2$ matrix we can solve for directly.\n", "\n", "$$\n", "F = \\frac{\\partial x}{\\partial X}\n", "$$" ] }, { "cell_type": "markdown", "id": "19c5ba13", "metadata": {}, "source": [ "Imports, and every tunable parameter of this notebook." ] }, { "cell_type": "code", "execution_count": 1, "id": "20a2caf0", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:26.040603Z", "iopub.status.busy": "2026-09-24T03:44:26.040458Z", "iopub.status.idle": "2026-09-24T03:44:26.618289Z", "shell.execute_reply": "2026-09-24T03:44:26.617406Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import os\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import TwoSlopeNorm\n", "import igl\n", "import simkit\n", "import utils\n", "\n", "NOTEBOOK = \"001_deformation_gradient_construction\" # this file's name\n", "RESULTS_DIR = utils.notebook_results_path(NOTEBOOK) # results/001_deformation_gradient_construction/\n", "MEDIA_DIR = \"media\" # tracked copies for the website\n", "# single triangle and its test deformations\n", "SIDE = 1.0 # side length of the equilateral rest triangle\n", "ROT_DEG = 30.0 # rotation angle of the rigid test motion (degrees)\n", "TRANSLATION = [2.0, -1.0] # translation of the rigid test motion\n", "SCALE = [1.6, 0.7] # axis-aligned stretch factors (x, y)\n", "SHEAR_K = 0.7 # simple shear, x += k * y\n", "# mesh experiment\n", "NX, NY = 13, 4 # grid resolution (vertices)\n", "WIDTH, HEIGHT = 2.0, 0.5 # rest strip size\n", "BEND_RADIUS = 0.8 # radius of the arc the strip is bent onto\n", "# convergence of F to the exact Jacobian\n", "X_PROBE = [0.3, -0.05] # material point where F is compared with d(phi)/dX\n", "H_LIST = [0.4, 0.2, 0.1, 0.05, 0.025, 0.0125] # side lengths of the shrinking probe triangle" ] }, { "cell_type": "markdown", "id": "45007c03", "metadata": {}, "source": [ "## Eliminate the translation with edge vectors\n", "\n", "Subtracting vertex 0 from vertices 1 and 2 cancels the unknown translation: $x_i - x_0 = F\\,(X_i - X_0)$.\n", "Stacking the two rest edges as the columns of $D_m = [\\,X_1-X_0,\\; X_2-X_0\\,]$ and the deformed edges as\n", "$D_s = [\\,x_1-x_0,\\; x_2-x_0\\,]$ gives $D_s = F D_m$, so two edge matrices and one inverse are all it takes.\n", "The cell below codes this and checks it on the identity and on a rotation plus a translation.\n", "\n", "$$\n", "\\boxed{\\,F = D_s\\, D_m^{-1}\\,}\n", "$$" ] }, { "cell_type": "code", "execution_count": 2, "id": "53d6c921", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:26.619632Z", "iopub.status.busy": "2026-09-24T03:44:26.619498Z", "iopub.status.idle": "2026-09-24T03:44:26.622826Z", "shell.execute_reply": "2026-09-24T03:44:26.622387Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "rest -> rest gives the identity:\n", " [[1. 0.]\n", " [0. 1.]]\n", "\n", "rotate 30 deg + translate -> F is exactly that rotation:\n", " [[ 0.866025 -0.5 ]\n", " [ 0.5 0.866025]]\n" ] } ], "source": [ "def deformation_gradient_triangle(X, U):\n", " \"\"\"F for a single triangle, built from rest edges (X) and deformed edges (U).\"\"\"\n", " Dm = np.column_stack([X[1] - X[0], X[2] - X[0]]) # rest edge vectors\n", " Ds = np.column_stack([U[1] - U[0], U[2] - U[0]]) # deformed edge vectors\n", " F = Ds @ np.linalg.inv(Dm)\n", " return F\n", "\n", "X = SIDE * np.array([[-0.5, 0.0], [0.5, 0.0], [0.0, np.sqrt(3) / 2]]) # equilateral rest triangle\n", "theta = np.deg2rad(ROT_DEG)\n", "R = np.array([[np.cos(theta), -np.sin(theta)], [np.sin(theta), np.cos(theta)]])\n", "U_rot = X @ R.T + np.array(TRANSLATION) # rotate AND translate\n", "\n", "print(\"rest -> rest gives the identity:\\n\", np.round(deformation_gradient_triangle(X, X), 6))\n", "print(f\"\\nrotate {ROT_DEG:g} deg + translate -> F is exactly that rotation:\\n\",\n", " np.round(deformation_gradient_triangle(X, U_rot), 6))" ] }, { "cell_type": "markdown", "id": "a903e702", "metadata": {}, "source": [ "The identity comes back unchanged, and rotate + translate returns exactly the rotation matrix, with\n", "$\\det F = 1$ (no area change). The translation drops out because $F$ is built from *edges*, which a\n", "translation leaves unchanged: $F$ sees only the triangle's shape, not where it sits." ] }, { "cell_type": "markdown", "id": "ec9ff5d4", "metadata": {}, "source": [ "## Seeing $D_m$ and $D_s$\n", "\n", "The triangle is our whole mesh, one element `T = [[0, 1, 2]]`. The orange arrows are the columns of $D_m$\n", "(left, at rest) and of $D_s$ (right, after the rotation + translation). $F$ is the linear map that carries\n", "the left pair of arrows onto the right pair." ] }, { "cell_type": "code", "execution_count": 3, "id": "4f86d524", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:26.624059Z", "iopub.status.busy": "2026-09-24T03:44:26.623992Z", "iopub.status.idle": "2026-09-24T03:44:26.822413Z", "shell.execute_reply": "2026-09-24T03:44:26.822042Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = np.array([[0, 1, 2]]) # one triangle, vertices 0, 1, 2\n", "panels = [(r\"rest: $D_m = [X_1 - X_0,\\ X_2 - X_0]$\", X, \"X\"),\n", " (r\"deformed: $D_s = [x_1 - x_0,\\ x_2 - x_0]$\", U_rot, \"x\")]\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 4.4))\n", "for ax, (title, P, sym) in zip(axes, panels):\n", " utils.plot_mesh(ax, P, T, title=title, lims=utils.auto_limits([P], pad=0.3), show_vertices=True)\n", " for i in (1, 2):\n", " ax.annotate(\"\", xy=P[i], xytext=P[0], zorder=6,\n", " arrowprops=dict(arrowstyle=\"-|>\", color=utils.HANDLE_C, lw=2.5, mutation_scale=18))\n", " centroid = P.mean(axis=0)\n", " for i, p in enumerate(P):\n", " offset = 0.17 * (p - centroid) / np.linalg.norm(p - centroid)\n", " ax.text(*(p + offset), f\"${sym}_{i}$\", ha=\"center\", va=\"center\", fontsize=13)\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"edge_vectors.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"001_edge_vectors.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d592935b", "metadata": {}, "source": [ "## The same thing, for any simplex: `simkit.deformation_gradient`\n", "\n", "SimKit computes $F$ for triangles *and* tetrahedra through a reference-element shape-function gradient\n", "(the matrix `H`), but the result is the same $D_s D_m^{-1}$. The printout confirms that it matches our\n", "hand-built $F$ for the rotated triangle." ] }, { "cell_type": "code", "execution_count": 4, "id": "048bd957", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:26.823470Z", "iopub.status.busy": "2026-09-24T03:44:26.823396Z", "iopub.status.idle": "2026-09-24T03:44:26.825961Z", "shell.execute_reply": "2026-09-24T03:44:26.825363Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "match: True\n", "[[ 0.866025 -0.5 ]\n", " [ 0.5 0.866025]]\n" ] } ], "source": [ "F_ours = deformation_gradient_triangle(X, U_rot)\n", "F_simkit = simkit.deformation_gradient(X, T, U_rot)[0] # [0] = first (only) element\n", "\n", "print(\"match:\", np.allclose(F_ours, F_simkit))\n", "print(np.round(F_simkit, 6))" ] }, { "cell_type": "markdown", "id": "e90d6433", "metadata": {}, "source": [ "## Seeing it\n", "\n", "Three deformations of the rest triangle (dashed), each labelled with the $F$ we built. Despite the large\n", "translation, the first $F$ is a pure rotation with $\\det F = 1$. Scaling puts the stretch factors on the\n", "diagonal ($\\det F = 1.6 \\cdot 0.7 = 1.12$, the area grows), and the shear puts $k$ off the diagonal while\n", "keeping the area ($\\det F = 1$)." ] }, { "cell_type": "code", "execution_count": 5, "id": "09cb06c4", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:26.827026Z", "iopub.status.busy": "2026-09-24T03:44:26.826955Z", "iopub.status.idle": "2026-09-24T03:44:27.027042Z", "shell.execute_reply": "2026-09-24T03:44:27.026711Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cases = [(\"rotate + translate\", U_rot),\n", " (f\"scale x{SCALE[0]:g}, y{SCALE[1]:g}\", X * np.array(SCALE)),\n", " (f\"shear k = {SHEAR_K:g}\", X @ np.array([[1.0, SHEAR_K], [0.0, 1.0]]).T)]\n", "lims = utils.auto_limits([X] + [U for _, U in cases], pad=0.6) # shared limits that fit every triangle\n", "fig, axes = plt.subplots(1, 3, figsize=(12, 3.8))\n", "for ax, (name, U) in zip(axes, cases):\n", " utils.setup_axes(ax, *lims, title=name)\n", " utils.TriangleArtist(ax, U, rest=X)\n", " F = deformation_gradient_triangle(X, U)\n", " F_clean = np.round(F, 6) + 0.0 # drop float noise (+0.0 turns -0.0 into 0.0)\n", " utils.text_box(ax, utils.format_F(F_clean), loc=\"upper right\")\n", "fig.suptitle(r\"$F = D_s D_m^{-1}$ built by hand, for three deformations\")\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"deformations.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"001_deformations.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3d472d98", "metadata": {}, "source": [ "## One $F$ per element on a mesh\n", "\n", "`simkit.deformation_gradient(X, T, U)` is vectorised: one $F$ per triangle of a whole mesh. We deform a\n", "libigl strip affinely ($A$ = the shear after the scale) and by bending it onto an arc of radius $R$,\n", "$\\phi(X) = \\big((R+X_2)\\sin\\tfrac{X_1}{R},\\ (R+X_2)\\cos\\tfrac{X_1}{R} - R\\big)$, whose exact $\\det F = (R + X_2)/R$.\n", "The printout checks our formula against simkit on every triangle, confirms $F = A$ everywhere for the affine map,\n", "and shows that the bend's per-triangle $\\det F$ spans the exact range to within about 1%." ] }, { "cell_type": "code", "execution_count": 6, "id": "8e6bbb75", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:27.028190Z", "iopub.status.busy": "2026-09-24T03:44:27.028078Z", "iopub.status.idle": "2026-09-24T03:44:27.033345Z", "shell.execute_reply": "2026-09-24T03:44:27.032964Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "52 vertices, 72 triangles\n", "hand-built F == simkit F on every bent triangle: True\n", "affine: F == A on every triangle: True (det A = 1.120)\n", "bend: det F per triangle spans [0.683, 1.303]; exact (R + X2)/R spans [0.688, 1.312]\n" ] } ], "source": [ "V, T_grid = igl.triangulated_grid(NX, NY) # unit square, NX x NY vertices\n", "X_grid = (V - 0.5) * np.array([WIDTH, HEIGHT]) # centred WIDTH x HEIGHT strip\n", "\n", "def bend(P):\n", " \"\"\"The non-affine map phi: wrap the strip onto an arc of radius BEND_RADIUS.\"\"\"\n", " Rb = BEND_RADIUS\n", " x = (Rb + P[:, 1]) * np.sin(P[:, 0] / Rb)\n", " y = (Rb + P[:, 1]) * np.cos(P[:, 0] / Rb) - Rb\n", " return np.column_stack([x, y])\n", "\n", "A = np.array([[1.0, SHEAR_K], [0.0, 1.0]]) @ np.diag(SCALE) # shear after scale\n", "U_affine = X_grid @ A.T\n", "U_bend = bend(X_grid)\n", "\n", "F_affine = simkit.deformation_gradient(X_grid, T_grid, U_affine) # (#triangles, 2, 2)\n", "F_bend = simkit.deformation_gradient(X_grid, T_grid, U_bend)\n", "F_loop = np.array([deformation_gradient_triangle(X_grid[t], U_bend[t]) for t in T_grid])\n", "det_affine = np.linalg.det(F_affine)\n", "det_bend = np.linalg.det(F_bend)\n", "det_exact = (BEND_RADIUS + X_grid[:, 1]) / BEND_RADIUS # continuum det F of the bend, per vertex\n", "\n", "print(f\"{len(X_grid)} vertices, {len(T_grid)} triangles\")\n", "print(\"hand-built F == simkit F on every bent triangle:\", np.allclose(F_loop, F_bend))\n", "print(f\"affine: F == A on every triangle: {np.allclose(F_affine, A)} (det A = {np.linalg.det(A):.3f})\")\n", "print(f\"bend: det F per triangle spans [{det_bend.min():.3f}, {det_bend.max():.3f}]; \"\n", " f\"exact (R + X2)/R spans [{det_exact.min():.3f}, {det_exact.max():.3f}]\")" ] }, { "cell_type": "markdown", "id": "9d3420be", "metadata": {}, "source": [ "Top: the rest mesh, and $\\det F$ after the affine map, the same in every triangle. Bottom: the bend's\n", "per-triangle $\\det F$ beside the exact field $(R + X_2)/R$ (red: area grows, blue: area shrinks). Both stretch the\n", "outer fibres and compress the inner ones, but the per-triangle field is piecewise constant and alternates along\n", "each row: each triangle takes roughly $(R + X_2)/R$ at its one horizontal edge (bottom or top), not at its centre,\n", "and the chord shortening scales it down by about 0.7%, which is why the printed range sits slightly below the\n", "exact one. A per-element $F$ is only an approximation." ] }, { "cell_type": "code", "execution_count": 7, "id": "9a224d7d", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:27.034668Z", "iopub.status.busy": "2026-09-24T03:44:27.034592Z", "iopub.status.idle": "2026-09-24T03:44:27.373417Z", "shell.execute_reply": "2026-09-24T03:44:27.373086Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "all_det = np.concatenate([det_affine, det_bend, det_exact])\n", "norm = TwoSlopeNorm(vmin=all_det.min(), vcenter=1.0, vmax=all_det.max())\n", "fig, axes = plt.subplots(2, 2, figsize=(12, 5.4), layout=\"constrained\", gridspec_kw=dict(height_ratios=[1.0, 1.6]))\n", "utils.plot_mesh(axes[0, 0], X_grid, T_grid, title=\"rest mesh\", show_vertices=True)\n", "utils.plot_scalar_field(axes[0, 1], U_affine, T_grid, det_affine, title=r\"affine: $\\det F$\",\n", " cmap=\"RdBu_r\", norm=norm, colorbar=False)\n", "utils.plot_scalar_field(axes[1, 0], U_bend, T_grid, det_bend, title=r\"bend: $\\det F$ per triangle\",\n", " cmap=\"RdBu_r\", norm=norm, colorbar=False)\n", "m = utils.plot_scalar_field(axes[1, 1], U_bend, T_grid, det_exact, title=r\"bend, exact: $(R + X_2)/R$\",\n", " cmap=\"RdBu_r\", norm=norm, colorbar=False)\n", "fig.colorbar(m, ax=axes, shrink=0.7, label=r\"$\\det F$\")\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"mesh_det_F.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"001_mesh_det_F.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "526a6f0d", "metadata": {}, "source": [ "## $D_s D_m^{-1}$ converges to $\\partial x/\\partial X$\n", "\n", "For a non-affine map, one triangle's $F$ only approximates the Jacobian. To measure how well, we shrink an\n", "equilateral probe triangle of side $h$ (one per entry of `H_LIST`) around the material point `X_PROBE` (+).\n", "The figure shows the probes on the rest strip (left), a zoom on the + where the smallest ones sit (middle), and\n", "their three bent vertices joined by straight edges (right), which is all that $D_s$ sees." ] }, { "cell_type": "code", "execution_count": 8, "id": "7763f19b", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:27.374827Z", "iopub.status.busy": "2026-09-24T03:44:27.374729Z", "iopub.status.idle": "2026-09-24T03:44:27.545706Z", "shell.execute_reply": "2026-09-24T03:44:27.544975Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p = np.array(X_PROBE)\n", "unit_tri = (X - X.mean(axis=0)) / SIDE # side-1 equilateral triangle centred on its centroid\n", "probes = [p + h * unit_tri for h in H_LIST] # one shrinking probe triangle per h\n", "zoom = 0.6 * H_LIST[len(H_LIST) // 2] # half-width of the zoom window (fits the smaller half of the probes)\n", "zoom_view = ((p[0] - zoom, p[0] + zoom), (p[1] - zoom, p[1] + zoom))\n", "panels = [(\"probe triangles on the rest strip\", X_grid, probes, p, None),\n", " (\"zoom on X_PROBE\", X_grid, probes, p, zoom_view),\n", " (\"after the bend\", U_bend, [bend(P) for P in probes], bend(p[None])[0], None)]\n", "colors = plt.cm.plasma(np.linspace(0.0, 0.85, len(H_LIST)))\n", "fig, axes = plt.subplots(1, 3, figsize=(14, 3.0), gridspec_kw=dict(width_ratios=[6.3, 2.0, 4.1]))\n", "for ax, (title, U_mesh, tris, centre, view) in zip(axes, panels):\n", " utils.plot_mesh(ax, U_mesh, T_grid, title=title, lims=view, lw=0.5)\n", " for h, P, c in zip(H_LIST, tris, colors):\n", " ax.fill(*P.T, fill=False, ec=c, lw=1.8, zorder=4, label=f\"$h$ = {h:g}\")\n", " ax.plot(*centre, \"k+\", ms=12, mew=1.5, zorder=5)\n", "axes[2].legend(loc=\"center left\", bbox_to_anchor=(1.02, 0.5), fontsize=9)\n", "fig.tight_layout()\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"probe_triangles.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"001_probe_triangles.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d3d34496", "metadata": {}, "source": [ "Each probe's $F = D_s D_m^{-1}$ is compared with the exact Jacobian of the bend at `X_PROBE`. The error falls\n", "linearly in $h$ (the fitted slope is printed; the dashed guide has slope 1), so on a fine mesh the per-element\n", "$F$ approaches the continuum $\\partial x/\\partial X$." ] }, { "cell_type": "code", "execution_count": 9, "id": "6e50cee6", "metadata": { "execution": { "iopub.execute_input": "2026-09-24T03:44:27.546756Z", "iopub.status.busy": "2026-09-24T03:44:27.546666Z", "iopub.status.idle": "2026-09-24T03:44:27.708654Z", "shell.execute_reply": "2026-09-24T03:44:27.708077Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "error 1.63e-01 at h = 0.4 -> 4.99e-03 at h = 0.0125; fitted slope 1.01\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def bend_jacobian(p):\n", " \"\"\"Exact Jacobian d(phi)/dX of the bend at one material point p.\"\"\"\n", " Rb = BEND_RADIUS\n", " c, s = np.cos(p[0] / Rb), np.sin(p[0] / Rb)\n", " stretch = (Rb + p[1]) / Rb\n", " F_exact = np.array([[stretch * c, s], [-stretch * s, c]])\n", " return F_exact\n", "\n", "F_exact = bend_jacobian(p)\n", "errors = []\n", "for P in probes:\n", " F_h = deformation_gradient_triangle(P, bend(P))\n", " errors.append(np.linalg.norm(F_h - F_exact))\n", "slope = np.polyfit(np.log(H_LIST), np.log(errors), 1)[0]\n", "print(f\"error {errors[0]:.2e} at h = {H_LIST[0]:g} -> {errors[-1]:.2e} at h = {H_LIST[-1]:g}; fitted slope {slope:.2f}\")\n", "\n", "fig, ax = utils.loglog_plot(H_LIST, {r\"$\\|D_s D_m^{-1} - \\partial\\phi/\\partial X\\|_F$\": errors},\n", " xlabel=\"triangle side $h$\", ylabel=\"error\",\n", " title=f\"per-triangle $F$ vs exact Jacobian at $X$ = {tuple(X_PROBE)}\",\n", " figsize=(6, 4.5))\n", "ax.loglog(H_LIST, 2 * errors[0] * np.array(H_LIST) / H_LIST[0], \"--\", color=\"0.5\", label=\"slope 1\")\n", "ax.legend(fontsize=9)\n", "simkit.filesystem.save_figure(fig, os.path.join(RESULTS_DIR, \"jacobian_convergence.png\"),\n", " copy_to=os.path.join(MEDIA_DIR, \"001_jacobian_convergence.png\"))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "fa91d855", "metadata": {}, "source": [ "### Takeaways\n", "* $F = D_s D_m^{-1}$: the deformed edges expressed in the rest-edge basis.\n", "* It is the **local linear part** of the deformation, translation-free by construction.\n", "* `simkit.deformation_gradient(X, T, U)` returns one (piecewise-constant) $F$ per element; every later tutorial calls it.\n", "* As elements shrink, that $F$ converges to the Jacobian $\\partial x/\\partial X$ at first order.\n", "\n", "Next we build intuition for what different $F$'s *look like*." ] } ], "metadata": { "kernelspec": { "display_name": "simkit", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }