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    "# Lecture 23.3: Theory of stress and strain — internal forces: stress\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 45348](https://nanohub.org/resources/45348) — [video](https://nanohub.org/resources/45361) · [slides](https://nanohub.org/resources/45360)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- An imaginary cut through a pulled rod: each half stays at rest only because the other half pulls on it, so an internal force acts across every cut.\n",
    "- Stress is that internal force per area, $\\sigma = F/A$: it describes the material at a point, not the size of the sample. Positive is tension, negative compression.\n",
    "- Units and sizes: 1 GPa ≈ 10$^4$ atm; strained semiconductor layers carry 0.1–2 GPa, 1,000 to 20,000 atmospheres. Displacements can be seen; forces cannot.\n",
    "- Pressure pushes equally on every face, $\\sigma_{xx} = \\sigma_{yy} = \\sigma_{zz} = -p$; a force along a face is shear stress, which tilts the block.\n",
    "- The stress tensor $\\sigma_{ij} = \\mathrm{d}F_i/\\mathrm{d}A_j$ (force direction $i$, face normal $j$), symmetric because there is no net torque; at a free surface normal to $z$, $\\sigma_{xz} = \\sigma_{yz} = \\sigma_{zz} = 0$.\n",
    "\n",
    "**In this notebook**\n",
    "\n",
    "You pull a GaAs rod with open-nemo's finite-element elasticity solver (`opennemo.solvers.elasticity`) and check that the stress is the same at every cut and independent of the cross-section; compress a cube hydrostatically and drag the top face of a block to produce pressure and shear stress; compute the force on a face from the stress tensor; and verify the free-surface condition on a strained InAs and In$_{0.2}$Ga$_{0.8}$As layer on GaAs, whose stress you convert to atmospheres."
   ]
  },
  {
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   "id": "952f7331",
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    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:31.077325Z",
     "iopub.status.busy": "2026-10-24T22:06:31.077256Z",
     "iopub.status.idle": "2026-10-24T22:06:31.541900Z",
     "shell.execute_reply": "2026-10-24T22:06:31.541424Z"
    }
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   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import opennemo as nemo\n",
    "from opennemo.visualization import style\n",
    "from opennemo.models import kp\n",
    "from opennemo.solvers import elasticity as E\n",
    "from opennemo.solvers.poisson import Grid\n",
    "\n",
    "style.use(notebook=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ebef252",
   "metadata": {},
   "source": [
    "## 1. Forces inside a solid: the imaginary cut\n",
    "\n",
    "Lecture 23.2 described *how far* atoms move. This lecture asks what *forces* the atoms feel once they\n",
    "have been moved. Pull a rod at both ends with a force $F$ and imagine a cut through it. The cut does not\n",
    "exist; it is a bookkeeping device. Each half of the rod stays at rest only if the other half pulls on it\n",
    "with the same force $F$, so that internal force is transmitted by all the atoms that straddle the cut,\n",
    "and it exists at every cut, wherever it is placed. The internal force per area is the *stress*,\n",
    "\n",
    "$$\n",
    "\\sigma = \\frac{F}{A} .\n",
    "$$\n",
    "\n",
    "A rod of twice the cross-section needs twice the force for the same stretch, but the stress is the same:\n",
    "$\\sigma$ describes the material at a point, not the size of the sample. $\\sigma > 0$ is tension (the\n",
    "halves pull on each other), $\\sigma < 0$ compression (they push). The unit is the pascal,\n",
    "$1\\ \\mathrm{Pa} = 1\\ \\mathrm{N/m^2}$, and $1\\ \\mathrm{GPa} = 10^9\\ \\mathrm{Pa} \\approx 10^4$ atmospheres.\n",
    "Strained semiconductor layers carry 0.1 to 2 GPa, 1,000 to 20,000 times the air pressure we breathe.\n",
    "\n",
    "![Slide 3: a pulled rod and an imaginary cut](attachment:slide_003_crop.png)\n",
    "\n",
    "*Slide 3. Top: the whole rod, pulled at both ends. Bottom: the two halves after an imaginary cut; each\n",
    "must pull on the other with the force $F$ for both to stay at rest.*\n",
    "\n",
    "Klimeck stresses an asymmetry between the two concepts: strain is displacement, and displacement can\n",
    "be seen (in a microscope, in X-ray diffraction); force cannot be seen. A simulation therefore obtains\n",
    "the stress from the computed displacements, through the material law of Lecture 23.4. The cell below\n",
    "does this with the finite-element solver `elasticity.Elasticity`: a GaAs rod, 10 nm long, is stretched by\n",
    "0.1 % (its right end is moved by 0.01 nm along $x$ while the left end is held), its sides are free, and\n",
    "the stress tensor is evaluated in every finite element. The internal force across a cut at position $x$\n",
    "is $F(x) = \\int \\sigma_{xx}\\,\\mathrm{d}A$ over that cross-section. With stress in GPa and area in nm²\n",
    "the force comes out in nN ($1\\ \\mathrm{GPa \\cdot nm^2} = 1\\ \\mathrm{nN}$)."
   ],
   "attachments": {
    "slide_003_crop.png": {
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "49059387",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:31.543205Z",
     "iopub.status.busy": "2026-10-24T22:06:31.543102Z",
     "iopub.status.idle": "2026-10-24T22:06:31.561431Z",
     "shell.execute_reply": "2026-10-24T22:06:31.561075Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "σ_xx in the rod: 0.0862 to 0.0862 GPa\n",
      "force across the 20 cuts: 0.345 to 0.345 nN\n"
     ]
    }
   ],
   "source": [
    "gaas = kp.material(\"GaAs\")                                       # Vurgaftman 2001 parameters\n",
    "C_gaas = E.cubic_stiffness(gaas.c11, gaas.c12, gaas.c44)         # 6x6 stiffness (GPa), Lecture 23.4\n",
    "\n",
    "def pull_rod(length=10.0, width=2.0, height=2.0, stretch=0.01, h=0.5):\n",
    "    # rod along x; left face held in x, right face moved by `stretch` nm; sides free\n",
    "    g = Grid(*(np.linspace(0, s, int(round(s / h)) + 1) for s in (length, width, height)))\n",
    "    el = E.Elasticity(g, C_gaas)\n",
    "    X = g.nodes\n",
    "    el.fix(np.isclose(X[:, 0], 0), (0,), 0.0)\n",
    "    el.fix(np.isclose(X[:, 0], length), (0,), stretch)\n",
    "    el.fix(np.flatnonzero(np.all(np.isclose(X, [0, 0, 0]), axis=1)), (1, 2), 0.0)   # no rigid motion\n",
    "    el.fix(np.flatnonzero(np.all(np.isclose(X, [0, width, 0]), axis=1)), (2,), 0.0)\n",
    "    return el, el.solve()\n",
    "\n",
    "el, r = pull_rod()\n",
    "xc = el.cell_centers[:, 0]\n",
    "cuts = np.unique(np.round(xc, 6))\n",
    "F_cut = np.array([r.stress[np.isclose(xc, c), 0, 0].mean() * 2.0 * 2.0 for c in cuts])   # nN\n",
    "print(f\"σ_xx in the rod: {r.stress[:, 0, 0].min():.4f} to {r.stress[:, 0, 0].max():.4f} GPa\")\n",
    "print(f\"force across the {len(cuts)} cuts: {F_cut.min():.3f} to {F_cut.max():.3f} nN\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "97bddd08",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:31.562568Z",
     "iopub.status.busy": "2026-10-24T22:06:31.562495Z",
     "iopub.status.idle": "2026-10-24T22:06:31.767630Z",
     "shell.execute_reply": "2026-10-24T22:06:31.767241Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " cross-section   force (nN)   stress σ_xx (GPa)   strain ε_xx (%)\n",
      "  2 nm × 2 nm       0.345            0.0862            0.100\n",
      "  4 nm × 2 nm       0.690            0.0862            0.100\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  4 nm × 4 nm       1.380            0.0862            0.100\n",
      "1 GPa = 9869 atm;  0.1 GPa = 987 atm,  2 GPa = 19,738 atm\n"
     ]
    }
   ],
   "source": [
    "print(\" cross-section   force (nN)   stress σ_xx (GPa)   strain ε_xx (%)\")\n",
    "for w, hgt in ((2.0, 2.0), (4.0, 2.0), (4.0, 4.0)):\n",
    "    el_w, r_w = pull_rod(width=w, height=hgt)\n",
    "    sig, eps = r_w.stress[:, 0, 0].mean(), r_w.strain[:, 0, 0].mean()\n",
    "    print(f\"  {w:.0f} nm × {hgt:.0f} nm   {sig * w * hgt:9.3f}   {sig:15.4f}   {100 * eps:14.3f}\")\n",
    "GPa_in_atm = 1e9 / 101325.0\n",
    "print(f\"1 GPa = {GPa_in_atm:.0f} atm;  0.1 GPa = {0.1 * GPa_in_atm:,.0f} atm,  \"\n",
    "      f\"2 GPa = {2 * GPa_in_atm:,.0f} atm\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8731a26",
   "metadata": {},
   "source": [
    "The stress, 0.0862 GPa at a strain of 0.1 %, is the same in every element, and the force across all 20\n",
    "cuts is the same, 0.345 nN: this is the statement that each half pulls on the other with the same force\n",
    "wherever the cut is made. Doubling the cross-section doubles the force (0.690 nN), and quadrupling it\n",
    "quadruples it (1.380 nN), while the stress stays 0.0862 GPa. The conversion factor is 1 GPa = 9,869 atm,\n",
    "so the slide's range of 0.1–2 GPa is 987 to 19,738 atm.\n",
    "\n",
    "## 2. Pressure from all sides, and shear along a face\n",
    "\n",
    "Two loads are special. *Hydrostatic pressure* $p$ pushes inward equally on every face, so the force on\n",
    "each face is normal to it, and\n",
    "\n",
    "$$\n",
    "\\sigma_{xx} = \\sigma_{yy} = \\sigma_{zz} = -p ,\n",
    "$$\n",
    "\n",
    "with the minus sign because pressure compresses. A force $F_\\parallel$ *along* a face of area $A$, as\n",
    "when the top of a block is dragged sideways, is a *shear stress* $\\tau = F_\\parallel/A$. The block tilts:\n",
    "its angles change, which is the shear strain of Lecture 23.2. In general every face carries a normal and\n",
    "a shear part at the same time, and one bookkeeping object is needed for all of them: the stress tensor.\n",
    "\n",
    "![Slide 4: pressure from all sides and shear along a face](attachment:slide_004_crop.png)\n",
    "\n",
    "*Slide 4. Left: dragging the top face, a force parallel to the face, tilts the block (shear stress\n",
    "$\\tau$). Right: pressure pushes inward on every face, $\\sigma_{xx} = \\sigma_{yy} = \\sigma_{zz} = -p$.*\n",
    "\n",
    "Both loads are easy to impose on a finite-element block of GaAs. For pressure, every surface node of a\n",
    "2 nm cube is moved towards the centre as a uniform compression by 0.5 %. For shear, a 2 nm high slab,\n",
    "periodic in $x$ and $y$, is held at the bottom while its top face is moved by 0.02 nm along $x$."
   ],
   "attachments": {
    "slide_004_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9a3069d7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:31.768692Z",
     "iopub.status.busy": "2026-10-24T22:06:31.768616Z",
     "iopub.status.idle": "2026-10-24T22:06:31.774241Z",
     "shell.execute_reply": "2026-10-24T22:06:31.773894Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "hydrostatic compression by 0.5 %: stress tensor (GPa)\n",
      " [[-1.1765 -0.      0.    ]\n",
      " [-0.     -1.1765  0.    ]\n",
      " [ 0.      0.     -1.1765]]\n",
      "pressure p = 1.1765 GPa = 11,611 atm, volume change Tr ε = -1.50 %\n"
     ]
    }
   ],
   "source": [
    "g = Grid(*(np.linspace(0, 2, 5),) * 3)\n",
    "el = E.Elasticity(g, C_gaas)\n",
    "X = g.nodes\n",
    "surface = np.any(np.isclose(X, 0) | np.isclose(X, 2), axis=1)\n",
    "for node in np.flatnonzero(surface):                             # u = -0.005 (x - centre) on the surface\n",
    "    el.fix([node], (0, 1, 2), -0.005 * (X[node] - 1.0))\n",
    "r_p = el.solve()\n",
    "sig_p = r_p.stress.mean(axis=0)\n",
    "print(\"hydrostatic compression by 0.5 %: stress tensor (GPa)\\n\", np.round(sig_p, 4))\n",
    "print(f\"pressure p = {-np.trace(sig_p) / 3:.4f} GPa = {-np.trace(sig_p) / 3 * GPa_in_atm:,.0f} atm, \"\n",
    "      f\"volume change Tr ε = {100 * np.trace(r_p.strain.mean(axis=0)):.2f} %\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9c6aaae0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:31.775197Z",
     "iopub.status.busy": "2026-10-24T22:06:31.775136Z",
     "iopub.status.idle": "2026-10-24T22:06:31.779412Z",
     "shell.execute_reply": "2026-10-24T22:06:31.779153Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "top face dragged by 0.02 nm: stress tensor (GPa)\n",
      " [[-0.  -0.   0.6]\n",
      " [-0.   0.   0. ]\n",
      " [ 0.6  0.   0. ]]\n",
      "ε_xz = 0.0050,  tilt θ = 2ε_xz = 0.573°,  τ = σ_xz = 0.600 GPa = 2 C44 ε_xz = 0.600 GPa\n"
     ]
    }
   ],
   "source": [
    "hgt, dx = 2.0, 0.02\n",
    "g = Grid(np.linspace(0, 1, 3), np.linspace(0, 1, 3), np.linspace(0, hgt, 9))\n",
    "el = E.Elasticity(g, C_gaas, periodic=(True, True, False))\n",
    "z = g.nodes[:, 2]\n",
    "el.fix(np.isclose(z, 0), (0, 1, 2), 0.0)\n",
    "el.fix(np.isclose(z, hgt), (0,), dx)\n",
    "el.fix(np.isclose(z, hgt), (1, 2), 0.0)\n",
    "r_s = el.solve()\n",
    "sig_s, eps_s = r_s.stress.mean(axis=0), r_s.strain.mean(axis=0)\n",
    "print(\"top face dragged by 0.02 nm: stress tensor (GPa)\\n\", np.round(sig_s, 4))\n",
    "print(f\"ε_xz = {eps_s[0, 2]:.4f},  tilt θ = 2ε_xz = {np.degrees(2 * eps_s[0, 2]):.3f}°,  \"\n",
    "      f\"τ = σ_xz = {sig_s[0, 2]:.3f} GPa = 2 C44 ε_xz = {2 * gaas.c44 * eps_s[0, 2]:.3f} GPa\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c73bf6f7",
   "metadata": {},
   "source": [
    "Under the uniform compression the stress tensor is diagonal with equal entries: a pressure of 1.1765 GPa\n",
    "(11,611 atm) for a volume change of −1.50 %, the bulk modulus at work (Lecture 23.4). Dragging the top\n",
    "face by 0.02 nm over a height of 2 nm gives a pure shear strain $\\varepsilon_{xz} = 0.005$, a tilt of\n",
    "0.573° and a shear stress $\\tau = \\sigma_{xz} = 0.6$ GPa, with $\\sigma_{zx}$ equal to $\\sigma_{xz}$ and\n",
    "no normal stress.\n",
    "\n",
    "A pure shear stress is not as different from tension and compression as it looks. The eigenvectors of\n",
    "the stress tensor are the *principal directions*, the orientations of a cut that feels only a normal\n",
    "force:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b9c96b76",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:31.780349Z",
     "iopub.status.busy": "2026-10-24T22:06:31.780292Z",
     "iopub.status.idle": "2026-10-24T22:06:31.782106Z",
     "shell.execute_reply": "2026-10-24T22:06:31.781761Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "principal stress -0.600 GPa along (-0.707, +0.000, +0.707)\n",
      "principal stress +0.000 GPa along (+0.000, +1.000, +0.000)\n",
      "principal stress +0.600 GPa along (+0.707, +0.000, +0.707)\n"
     ]
    }
   ],
   "source": [
    "w, v = np.linalg.eigh(sig_s)\n",
    "for wi, vi in zip(w, v.T):\n",
    "    print(f\"principal stress {wi:+.3f} GPa along ({vi[0]:+.3f}, {vi[1]:+.3f}, {vi[2]:+.3f})\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b7569d51",
   "metadata": {},
   "source": [
    "The shear stress of 0.6 GPa is the same as a tension of +0.6 GPa along the diagonal $(x + z)/\\sqrt2$\n",
    "combined with a compression of −0.6 GPa along $(x - z)/\\sqrt2$. Which entries of the tensor are\n",
    "\"normal\" and which are \"shear\" depends on the axes; the tensor itself does not.\n",
    "\n",
    "## 3. The stress tensor\n",
    "\n",
    "On a small cube, each of the three faces carries a force with three components, so the stress has two\n",
    "indices,\n",
    "\n",
    "$$\n",
    "\\sigma_{ij} = \\frac{\\mathrm{d}F_i}{\\mathrm{d}A_j} ,\n",
    "\\qquad\n",
    "\\boldsymbol{\\sigma} = \\begin{pmatrix}\n",
    "\\sigma_{xx} & \\sigma_{xy} & \\sigma_{xz}\\\\\n",
    "\\sigma_{xy} & \\sigma_{yy} & \\sigma_{yz}\\\\\n",
    "\\sigma_{xz} & \\sigma_{yz} & \\sigma_{zz}\n",
    "\\end{pmatrix}.\n",
    "$$\n",
    "\n",
    "The first index $i$ is the direction of the force, the second $j$ the direction in which the face points\n",
    "(its outward normal). On the $+x$ face, $\\sigma_{xx}$ pulls or pushes along the normal, and $\\sigma_{yx}$\n",
    "and $\\sigma_{zx}$ drag along the face. The diagonal entries are tension or compression, the off-diagonal\n",
    "ones shear. If $\\sigma_{xy}$ and $\\sigma_{yx}$ were different, the shear forces on the $x$ and $y$ faces\n",
    "would twist the cube; with no net torque the tensor is symmetric and has 6 independent entries.\n",
    "\n",
    "![Slide 5: the three forces on the +x face of a cube](attachment:slide_005_crop.png)\n",
    "\n",
    "*Slide 5. The force on the $+x$ face of a small cube has a normal component $\\sigma_{xx}$ and two shear\n",
    "components $\\sigma_{yx}$ and $\\sigma_{zx}$.*\n",
    "\n",
    "Two simple examples close the lecture. Hydrostatic pressure is $\\sigma_{ij} = -p\\,\\delta_{ij}$, with\n",
    "$\\delta_{ij}$ the Kronecker delta: the force on every face is normal to it, as in Section 2. And at a\n",
    "*free surface* normal to $z$, such as the top of an InAs layer grown on GaAs, nothing acts on the surface,\n",
    "no pressure and no shear, so\n",
    "\n",
    "$$\n",
    "\\sigma_{xz} = \\sigma_{yz} = \\sigma_{zz} = 0 .\n",
    "$$\n",
    "\n",
    "The layer can \"breathe\" upward until its atoms are at rest. This boundary condition is what determines\n",
    "the vertical expansion of a strained layer in Lecture 23.5.\n",
    "\n",
    "The force per area on a cut with unit normal $\\mathbf{n}$ is the *traction* $\\mathbf{t} = \\boldsymbol{\\sigma}\\,\n",
    "\\mathbf{n}$; its $j$-th column is the force on the face pointing along $j$. For the shear load of Section 2:"
   ],
   "attachments": {
    "slide_005_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3fd424a3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:31.782848Z",
     "iopub.status.busy": "2026-10-24T22:06:31.782794Z",
     "iopub.status.idle": "2026-10-24T22:06:31.784927Z",
     "shell.execute_reply": "2026-10-24T22:06:31.784599Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+x face        traction t = σ n = [-0.  -0.   0.6] GPa, normal part -0.000 GPa, shear part 0.600 GPa\n",
      "+z face        traction t = σ n = [0.6 0.  0. ] GPa, normal part +0.000 GPa, shear part 0.600 GPa\n",
      "(x+z)/√2 cut   traction t = σ n = [ 0.424 -0.     0.424] GPa, normal part +0.600 GPa, shear part 0.000 GPa\n",
      "symmetry: σ_xz − σ_zx = 0.0e+00 GPa\n"
     ]
    }
   ],
   "source": [
    "for name, n in ((\"+x face\", [1, 0, 0]), (\"+z face\", [0, 0, 1]), (\"(x+z)/√2 cut\", [1, 0, 1])):\n",
    "    n = np.array(n, float) / np.linalg.norm(n)\n",
    "    t = sig_s @ n\n",
    "    print(f\"{name:14s} traction t = σ n = {np.round(t, 3)} GPa, normal part {t @ n:+.3f} GPa, \"\n",
    "          f\"shear part {np.linalg.norm(t - (t @ n) * n):.3f} GPa\")\n",
    "print(f\"symmetry: σ_xz − σ_zx = {sig_s[0, 2] - sig_s[2, 0]:.1e} GPa\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42dd8dd2",
   "metadata": {},
   "source": [
    "The free-surface condition can be checked on the guiding example of this section. The finite-element\n",
    "model below is a column of GaAs substrate, 5 nm thick, with a 1 nm layer on top, periodic in $x$ and $y$\n",
    "(an infinitely wide film). The layer is given its own natural lattice constant as an *eigenstrain*\n",
    "$a_\\mathrm{layer}/a_\\mathrm{GaAs} - 1$, the strain it would need to fit without forces, and the bottom of\n",
    "the substrate is held. Everything else, including how much the layer expands vertically, is computed.\n",
    "Two layers are compared: InAs, and the alloy In$_{0.2}$Ga$_{0.8}$As used in the lectures that follow."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "10ffc49e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:06:31.785809Z",
     "iopub.status.busy": "2026-10-24T22:06:31.785758Z",
     "iopub.status.idle": "2026-10-24T22:06:31.861156Z",
     "shell.execute_reply": "2026-10-24T22:06:31.860765Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "InAs          layer stress (GPa): σ_xx = -5.686, σ_yy = -5.686, σ_zz = +1.2e-13, σ_xz = -1.2e-15, σ_yz = +1.1e-15\n",
      "              in-plane stress = 56,118 atm of compression; substrate |σ| max 1.9e-13 GPa\n",
      "In0.2Ga0.8As  layer stress (GPa): σ_xx = -1.677, σ_yy = -1.677, σ_zz = +1.6e-14, σ_xz = -1.8e-16, σ_yz = +8.1e-17\n",
      "              in-plane stress = 16,551 atm of compression; substrate |σ| max 2.6e-14 GPa\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 770x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def layer_on_gaas(mat, t_layer=1.0, t_sub=5.0):\n",
    "    g = Grid(np.linspace(0, 1, 3), np.linspace(0, 1, 3), np.linspace(0, t_sub + t_layer, 61))\n",
    "    layer = E.Elasticity(g, C_gaas).cell_centers[:, 2] > t_sub\n",
    "    C_l = E.cubic_stiffness(mat.c11, mat.c12, mat.c44)\n",
    "    el = E.Elasticity.from_regions(g, [(None, C_gaas, 0.0),\n",
    "                                       (layer, C_l, mat.lattice_constant / gaas.lattice_constant - 1)],\n",
    "                                   periodic=(True, True, False))\n",
    "    el.fix(np.isclose(g.nodes[:, 2], 0), (0, 1, 2), 0.0)\n",
    "    return layer, el.solve()\n",
    "\n",
    "zcells = E.Elasticity(Grid(np.linspace(0, 1, 3), np.linspace(0, 1, 3), np.linspace(0, 6, 61)),\n",
    "                      C_gaas).cell_centers[:, 2]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7, 3.6))\n",
    "for name, mat, col in ((\"InAs\", kp.material(\"InAs\"), style.OPEN_NEMO),\n",
    "                       (\"In0.2Ga0.8As\", kp.material(\"InGaAs\", x=0.2), style.REFERENCE)):\n",
    "    layer, r_l = layer_on_gaas(mat)\n",
    "    s = r_l.stress[layer].mean(axis=0)\n",
    "    print(f\"{name:13s} layer stress (GPa): σ_xx = {s[0, 0]:+.3f}, σ_yy = {s[1, 1]:+.3f}, \"\n",
    "          f\"σ_zz = {s[2, 2]:+.1e}, σ_xz = {s[0, 2]:+.1e}, σ_yz = {s[1, 2]:+.1e}\")\n",
    "    print(f\"{'':13s} in-plane stress = {-s[0, 0] * GPa_in_atm:,.0f} atm of compression; \"\n",
    "          f\"substrate |σ| max {np.abs(r_l.stress[~layer]).max():.1e} GPa\")\n",
    "    order = np.argsort(zcells)\n",
    "    ax.plot(zcells[order], r_l.stress[order, 0, 0], color=col, label=f\"{name}: σ_xx = σ_yy\")\n",
    "    ax.plot(zcells[order], r_l.stress[order, 2, 2], color=col, ls=\":\", label=f\"{name}: σ_zz\")\n",
    "ax.axvspan(5, 6, color=\"0.92\", zorder=0)\n",
    "ax.text(5.1, -3.0, \"layer\", fontsize=9)\n",
    "ax.set_xlabel(\"height z (nm)\")\n",
    "ax.set_ylabel(\"stress (GPa)\")\n",
    "ax.set_title(\"Stress in a strained layer on a GaAs substrate\")\n",
    "ax.legend(fontsize=8, loc=\"lower left\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5d4e898",
   "metadata": {},
   "source": [
    "In both layers the three stress components that act on the free surface, $\\sigma_{zz}$, $\\sigma_{xz}$ and\n",
    "$\\sigma_{yz}$, vanish to numerical precision, while the in-plane stress is large and compressive: −5.69 GPa\n",
    "(56,118 atm) in InAs and −1.68 GPa (16,551 atm) in In$_{0.2}$Ga$_{0.8}$As. The alloy sits inside the\n",
    "slide's range of 0.1–2 GPa; pure InAs on GaAs is far beyond it, which is one way to see why an InAs film\n",
    "gives up after a monolayer or two and forms islands (Lecture 23.1). The thick substrate, wide and held at\n",
    "the bottom, carries no stress in this idealised infinite film.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- Stress is internal force per area, $\\sigma = F/A$; it acts across every imaginary cut. In a pulled GaAs\n",
    "  rod (0.1 % strain) it is 0.0862 GPa everywhere, and the force across every cut is the same, 0.345 nN for\n",
    "  a 2 nm × 2 nm cross-section; doubling the area doubles the force at the same stress.\n",
    "- 1 GPa ≈ 9,869 atm. Strained layers carry 0.1–2 GPa; In$_{0.2}$Ga$_{0.8}$As on GaAs has −1.68 GPa,\n",
    "  InAs on GaAs −5.69 GPa.\n",
    "- Pressure is $\\sigma_{ij} = -p\\,\\delta_{ij}$ (a 0.5 % uniform compression of GaAs needs 1.18 GPa); a force\n",
    "  along a face is shear stress, and a pure shear stress is tension and compression along the diagonals.\n",
    "- The stress tensor $\\sigma_{ij} = \\mathrm{d}F_i/\\mathrm{d}A_j$ is symmetric (6 entries); the traction on a cut\n",
    "  is $\\boldsymbol{\\sigma}\\mathbf{n}$; at a free surface normal to $z$, $\\sigma_{xz} = \\sigma_{yz} = \\sigma_{zz} = 0$.\n",
    "- Strain can be seen, stress cannot: the simulation computes the stress from displacements through the\n",
    "  elastic constants of Lecture 23.4.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Stretch the rod of Section 1 by 1 % instead of 0.1 %. Does the force scale linearly? Then make the rod\n",
    "   from InAs (`kp.material(\"InAs\")`) and compare the force for the same stretch.\n",
    "2. In the shear test, replace the drag along $x$ by a drag along $y$ and confirm that only $\\sigma_{yz}$\n",
    "   appears. What happens when you drag along $x$ and $y$ at the same time?\n",
    "3. Compute the layer stress of In$_x$Ga$_{1-x}$As on GaAs for $x$ = 0.1 to 0.5 with `layer_on_gaas` and find\n",
    "   the composition at which it exceeds 2 GPa.\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Strain along different directions](../../book/03_strain/03_01_strain_types_and_directions.ipynb)\n",
    "- [Strained Si/Ge heterostructures](../../book/03_strain/03_02_strained_si_ge_heterostructure.ipynb)\n",
    "- [Self-assembled InAs/GaAs quantum dots: strain and confinement](../../book/07_quantum_dots/07_01_dot_levels_and_strain/07_01_04_strained_inas_gaas_dot.ipynb)\n",
    "- L. D. Landau and E. M. Lifshitz, *Theory of Elasticity*, 3rd ed., Pergamon (1986), §2.\n",
    "- J. F. Nye, *Physical Properties of Crystals*, Oxford University Press (1957)."
   ]
  }
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