feat(linear-static-mitc4-shell): step 10 - shell-result-recovery

2026-08-12 21:24:06 +09:00
parent d759cd7ab8
commit cef42dfa44
3 changed files with 882 additions and 16 deletions
@@ -2,6 +2,7 @@

 #include "fesa/analysis/analysis_model.hpp"
 #include "fesa/analysis/analysis_state.hpp"
+#include "fesa/assembly/load_assembler.hpp"
 #include "fesa/assembly/parallel_for.hpp"
 #include "fesa/assembly/sparse_assembler.hpp"
 #include "fesa/fem/dof_manager.hpp"
@@ -34,6 +35,13 @@ struct RecoveryFixture {
    std::unique_ptr<fesa::SparseMatrix> stiffness;
 };

+struct ShellRecoveryFixture {
+    std::unique_ptr<fesa::Domain> domain;
+    std::unique_ptr<fesa::AnalysisModel> model;
+    std::unique_ptr<fesa::DofManager> dofs;
+    std::unique_ptr<fesa::SparseMatrix> stiffness;
+};
+
 fesa::ModelDefinition makeDefinition(
    const bool twoElements = false,
    std::vector<std::array<double, 2>> sectionPoints = {},
@@ -144,6 +152,148 @@ RecoveryFixture makeFixture(
        std::move(stiffness)};
 }

+fesa::ModelDefinition makeShellDefinition(
+    const bool twoElements = false,
+    const bool constrainAll = false,
+    std::vector<fesa::NodalLoad> loads = {}) {
+    const std::filesystem::path source{"models/shell-result-recovery.inp"};
+    fesa::ModelDefinition definition{};
+    definition.sourcePath = source;
+    definition.sourceContentIdentity = "fnv1a64:fedcba9876543210";
+    definition.nodes = {
+        {{"Shell-1", 1, "1"}, {-1.0, -1.0, 0.0}, {source, 10U}},
+        {{"Shell-1", 2, "2"}, {1.0, -1.0, 0.0}, {source, 11U}},
+        {{"Shell-1", 3, "3"}, {3.0, -1.0, 0.0}, {source, 12U}},
+        {{"Shell-1", 4, "4"}, {-1.0, 1.0, 0.0}, {source, 13U}},
+        {{"Shell-1", 5, "5"}, {1.0, 1.0, 0.0}, {source, 14U}},
+        {{"Shell-1", 6, "6"}, {3.0, 1.0, 0.0}, {source, 15U}}};
+    if (!twoElements) {
+        definition.nodes.erase(
+            definition.nodes.begin() + 2,
+            definition.nodes.begin() + 3);
+        definition.nodes.erase(definition.nodes.begin() + 4);
+    }
+    definition.materials = {
+        {"Material", 120.0, 0.25, {source, 20U}}};
+    definition.shellSections = {
+        {"ShellSection", 2.0, 0U, {source, 30U}}};
+    definition.shellElements = {{
+        {"Shell-1", 10, "10"},
+        fesa::ShellSourceElementType::s4,
+        {0U, 1U, twoElements ? 4U : 3U, twoElements ? 3U : 2U},
+        0U,
+        0U,
+        {source, 40U}}};
+    if (twoElements) {
+        definition.shellElements.push_back({
+            {"Shell-1", 20, "20"},
+            fesa::ShellSourceElementType::s4r,
+            {1U, 2U, 5U, 4U},
+            0U,
+            0U,
+            {source, 41U}});
+    }
+    for (std::size_t node = 0U; node < definition.nodes.size(); ++node) {
+        definition.shellNodeInitialFrames.push_back({
+            static_cast<fesa::EntityIndex>(node),
+            {0.0, 0.0, 1.0},
+            {1.0, 0.0, 0.0},
+            {0.0, 1.0, 0.0}});
+    }
+    if (constrainAll) {
+        std::vector<fesa::EntityIndex> allNodes;
+        allNodes.reserve(definition.nodes.size());
+        for (std::size_t node = 0U; node < definition.nodes.size(); ++node) {
+            allNodes.push_back(static_cast<fesa::EntityIndex>(node));
+        }
+        definition.nodeSets.push_back(
+            {"All", {}, std::move(allNodes), {source, 50U}});
+    }
+    definition.steps = {{
+        "Step-1",
+        constrainAll
+            ? std::vector<fesa::BoundaryCondition>{
+                  {"All", 1, 6, 0.0, {source, 60U}}}
+            : std::vector<fesa::BoundaryCondition>{},
+        std::move(loads),
+        0.1,
+        1.0,
+        0.01,
+        1.0,
+        {source, 59U}}};
+    return definition;
+}
+
+ShellRecoveryFixture makeShellFixture(fesa::ModelDefinition definition) {
+    auto domainResult = fesa::Domain::create(std::move(definition));
+    if (!domainResult.hasValue()) {
+        throw std::runtime_error{
+            "Shell recovery fixture Domain construction failed."};
+    }
+    auto domain = std::make_unique<fesa::Domain>(
+        std::move(domainResult.value()));
+
+    auto modelResult = fesa::AnalysisModel::create(*domain);
+    if (!modelResult.hasValue()) {
+        throw std::runtime_error{
+            "Shell recovery fixture AnalysisModel construction failed."};
+    }
+    auto model = std::make_unique<fesa::AnalysisModel>(
+        std::move(modelResult.value()));
+
+    auto dofsResult = fesa::DofManager::create(*model);
+    if (!dofsResult.hasValue()) {
+        throw std::runtime_error{
+            "Shell recovery fixture DofManager construction failed."};
+    }
+    auto dofs = std::make_unique<fesa::DofManager>(
+        std::move(dofsResult.value()));
+
+    fesa::SerialParallelFor serial;
+    auto stiffnessResult = fesa::SparseAssembler::assembleStiffness(
+        *model, *dofs, serial);
+    if (!stiffnessResult.hasValue()) {
+        throw std::runtime_error{
+            "Shell recovery fixture stiffness assembly failed."};
+    }
+    auto stiffness = std::make_unique<fesa::SparseMatrix>(
+        std::move(stiffnessResult.value()));
+    return {
+        std::move(domain),
+        std::move(model),
+        std::move(dofs),
+        std::move(stiffness)};
+}
+
+fesa::AnalysisState makeShellPhysicalState(
+    const ShellRecoveryFixture& fixture) {
+    constexpr std::array<double, 8> generalized{
+        0.1, -0.05, 0.2, 0.3, -0.15, 0.25, 0.4, -0.3};
+    auto state = fesa::AnalysisState::create(
+        *fixture.dofs, {"Step-1", 0U});
+    for (std::size_t node = 0U;
+         node < fixture.domain->nodes().size();
+         ++node) {
+        const double x = fixture.domain->nodes()[node].coordinates[0U];
+        const double y = fixture.domain->nodes()[node].coordinates[1U];
+        const std::size_t offset = 6U * node;
+        state.displacement()[offset] =
+            generalized[0U] * x + 0.5 * generalized[2U] * y;
+        state.displacement()[offset + 1U] =
+            generalized[1U] * y + 0.5 * generalized[2U] * x;
+        state.displacement()[offset + 2U] =
+            generalized[6U] * x + generalized[7U] * y -
+            0.5 * generalized[5U] * x * y;
+        state.displacement()[offset + 3U] =
+            -generalized[4U] * y - 0.5 * generalized[5U] * x;
+        state.displacement()[offset + 4U] =
+            generalized[3U] * x + 0.5 * generalized[5U] * y;
+    }
+    state.externalForce() =
+        fixture.stiffness->multiply(state.displacement());
+    return state;
+}
+
 fesa::AnalysisState makeAxialEquilibriumState(const RecoveryFixture& fixture) {
    auto state = fesa::AnalysisState::create(
        *fixture.dofs, {"Step-1", 0U});
@@ -217,6 +367,11 @@ std::vector<fesa::EndpointResultRow> makeStationRows(
 TEST(ResultRecovery, ComputesResidualReactionForNonzeroPrescription) {
    const auto fixture = makeFixture();
    auto state = makeAxialEquilibriumState(fixture);
+    fesa::ShellStateCandidate staleShellEvidence{};
+    staleShellEvidence.physicalStrainEnergy = 123.0;
+    staleShellEvidence.equilibrium = {1.0, 2.0, 3.0, 4.0, 5.0, 6.0};
+    staleShellEvidence.verificationMetrics = {1.0e-11, 2.0e-11, 3.0e-11};
+    ASSERT_TRUE(state.commitShellResults({}, staleShellEvidence).isOk());

    const fesa::Status status = fesa::ResultRecovery::recover(
        *fixture.model, *fixture.dofs, *fixture.stiffness, state);
@@ -230,6 +385,14 @@ TEST(ResultRecovery, ComputesResidualReactionForNonzeroPrescription) {
    for (const std::size_t fullDof : fixture.dofs->freeDofs()) {
        EXPECT_DOUBLE_EQ(state.reaction()[fullDof], 0.0);
    }
+    EXPECT_TRUE(state.shellResults().empty());
+    EXPECT_DOUBLE_EQ(state.physicalStrainEnergy(), 0.0);
+    EXPECT_EQ(
+        state.equilibrium(),
+        (std::array<double, 6>{0.0, 0.0, 0.0, 0.0, 0.0, 0.0}));
+    EXPECT_EQ(
+        state.verificationMetrics(),
+        (std::array<double, 3>{0.0, 0.0, 0.0}));
 }

 TEST(ResultRecovery, EnforcesNormalizedFreeResidual) {
@@ -469,3 +632,359 @@ TEST(ResultRecovery, RequiresInteriorEndpointConsistencyWithoutAveraging) {
    ASSERT_FALSE(jumped.hasValue());
    expectStatusCode(jumped.status(), "ineligible-node-station");
 }
+
+// MITC4-REC-001
+TEST(ResultRecovery, RecoversShellRowsInStableElementAndGpOrder) {
+    const auto fixture = makeShellFixture(makeShellDefinition(true));
+    auto state = fesa::AnalysisState::create(
+        *fixture.dofs, {"Step-1", 0U});
+    for (std::size_t node = 0U;
+         node < fixture.domain->nodes().size();
+         ++node) {
+        const double x = fixture.domain->nodes()[node].coordinates[0U];
+        const double y = fixture.domain->nodes()[node].coordinates[1U];
+        state.displacement()[node * 6U] = 0.1 * x + 0.1 * y;
+        state.displacement()[node * 6U + 1U] = -0.05 * y + 0.1 * x;
+    }
+    state.externalForce() =
+        fixture.stiffness->multiply(state.displacement());
+
+    const auto status = fesa::ResultRecovery::recover(
+        *fixture.model, *fixture.dofs, *fixture.stiffness, state);
+
+    ASSERT_TRUE(status.isOk());
+    ASSERT_EQ(state.shellResults().size(), 8U);
+    const double gauss = 1.0 / std::sqrt(3.0);
+    const std::array<fesa::ShellMidsurfaceLocation, 4> locations{
+        fesa::ShellMidsurfaceLocation::gp1,
+        fesa::ShellMidsurfaceLocation::gp2,
+        fesa::ShellMidsurfaceLocation::gp3,
+        fesa::ShellMidsurfaceLocation::gp4};
+    const std::array<std::array<double, 2>, 4> coordinates{
+        std::array<double, 2>{-gauss, -gauss},
+        std::array<double, 2>{gauss, -gauss},
+        std::array<double, 2>{gauss, gauss},
+        std::array<double, 2>{-gauss, gauss}};
+    constexpr std::array<double, 8> expectedStrain{
+        0.1, -0.05, 0.2, 0.0, 0.0, 0.0, 0.0, 0.0};
+    constexpr std::array<double, 8> expectedResultant{
+        22.4, -6.4, 19.2, 0.0, 0.0, 0.0, 0.0, 0.0};
+    const std::array<std::array<double, 3>, 3> expectedFrame{{
+        {1.0, 0.0, 0.0},
+        {0.0, 1.0, 0.0},
+        {0.0, 0.0, 1.0}}};
+    for (std::size_t element = 0U; element < 2U; ++element) {
+        for (std::size_t point = 0U; point < locations.size(); ++point) {
+            const auto& row = state.shellResults()[element * 4U + point];
+            EXPECT_EQ(row.element, element);
+            EXPECT_EQ(row.location, locations[point]);
+            EXPECT_EQ(row.naturalCoordinates, coordinates[point]);
+            EXPECT_EQ(row.localFrame, expectedFrame);
+            for (std::size_t component = 0U;
+                 component < expectedStrain.size();
+                 ++component) {
+                EXPECT_NEAR(
+                    row.generalizedStrain[component],
+                    expectedStrain[component],
+                    1.0e-12);
+                EXPECT_NEAR(
+                    row.sectionResultant[component],
+                    expectedResultant[component],
+                    1.0e-12);
+            }
+        }
+    }
+}
+
+// MITC4-REC-002
+TEST(ResultRecovery, RecoversDirectBottomMiddleTopShellStress) {
+    const auto fixture = makeShellFixture(makeShellDefinition());
+    auto state = makeShellPhysicalState(fixture);
+
+    ASSERT_TRUE(fesa::ResultRecovery::recover(
+                    *fixture.model,
+                    *fixture.dofs,
+                    *fixture.stiffness,
+                    state)
+                    .isOk());
+    constexpr std::array<fesa::ShellSectionPosition, 3> positions{
+        fesa::ShellSectionPosition::bottom,
+        fesa::ShellSectionPosition::middle,
+        fesa::ShellSectionPosition::top};
+    constexpr std::array<double, 3> zeta{-1.0, 0.0, 1.0};
+    constexpr std::array<std::array<double, 3>, 3> expectedStress{{
+        {-22.4, 6.4, -2.4},
+        {11.2, -3.2, 9.6},
+        {44.8, -12.8, 21.6}}};
+    ASSERT_EQ(state.shellResults().size(), 4U);
+    for (const auto& row : state.shellResults()) {
+        for (std::size_t position = 0U;
+             position < positions.size();
+             ++position) {
+            EXPECT_EQ(row.stress[position].position, positions[position]);
+            EXPECT_DOUBLE_EQ(row.stress[position].zeta, zeta[position]);
+            for (std::size_t component = 0U;
+                 component < expectedStress[position].size();
+                 ++component) {
+                EXPECT_NEAR(
+                    row.stress[position].components[component],
+                    expectedStress[position][component],
+                    1.0e-12);
+            }
+        }
+    }
+}
+
+// MITC4-REC-003
+TEST(ResultRecovery, SumsOnlyPhysicalShellEnergyInSourceOrder) {
+    const auto fixture = makeShellFixture(makeShellDefinition());
+    auto state = makeShellPhysicalState(fixture);
+    constexpr std::array<double, 4> drill{1.0, -1.0, 1.0, -1.0};
+    for (std::size_t node = 0U; node < drill.size(); ++node) {
+        state.displacement()[node * 6U + 5U] = drill[node];
+    }
+    state.externalForce() =
+        fixture.stiffness->multiply(state.displacement());
+    const double stabilizedEnergy = 0.5 * state.displacement().dot(
+        fixture.stiffness->multiply(state.displacement()));
+
+    ASSERT_TRUE(fesa::ResultRecovery::recover(
+                    *fixture.model,
+                    *fixture.dofs,
+                    *fixture.stiffness,
+                    state)
+                    .isOk());
+    EXPECT_NEAR(state.physicalStrainEnergy(), 72.16, 1.0e-12);
+    EXPECT_GT(stabilizedEnergy, state.physicalStrainEnergy());
+}
+
+// MITC4-REC-004
+TEST(ResultRecovery, KeepsFullResidualAndComputesGlobalShellEquilibrium) {
+    const std::filesystem::path source{"models/shell-result-recovery.inp"};
+    const std::vector<fesa::NodalLoad> loads{
+        {"1", 1, 5.0, {source, 70U}},
+        {"5", 1, -5.0, {source, 71U}},
+        {"1", 4, 2.0, {source, 72U}},
+        {"5", 4, -2.0, {source, 73U}}};
+    const auto fixture = makeShellFixture(
+        makeShellDefinition(false, true, loads));
+    auto state = fesa::AnalysisState::create(
+        *fixture.dofs, {"Step-1", 0U});
+    auto fullLoad = fesa::LoadAssembler::assembleFullNodalLoad(
+        *fixture.model, *fixture.dofs);
+    ASSERT_TRUE(fullLoad.hasValue());
+    state.externalForce() = std::move(fullLoad.value());
+
+    ASSERT_TRUE(fesa::ResultRecovery::recover(
+                    *fixture.model,
+                    *fixture.dofs,
+                    *fixture.stiffness,
+                    state)
+                    .isOk());
+    ASSERT_EQ(state.shellResults().size(), 4U);
+    for (std::size_t fullDof = 0U;
+         fullDof < fixture.dofs->fullDofCount();
+         ++fullDof) {
+        EXPECT_DOUBLE_EQ(state.internalForce()[fullDof], 0.0);
+        EXPECT_DOUBLE_EQ(
+            state.residual()[fullDof], -state.externalForce()[fullDof]);
+        EXPECT_DOUBLE_EQ(state.reaction()[fullDof], state.residual()[fullDof]);
+    }
+    EXPECT_EQ(
+        state.equilibrium(),
+        (std::array<double, 6>{0.0, 0.0, 0.0, 0.0, 0.0, 0.0}));
+    EXPECT_EQ(
+        state.verificationMetrics(),
+        (std::array<double, 3>{0.0, 0.0, 0.0}));
+
+    const auto freeFixture = makeShellFixture(makeShellDefinition());
+    auto perturbed = makeShellPhysicalState(freeFixture);
+    perturbed.externalForce()[0U] += 1.0e-9;
+    ASSERT_TRUE(fesa::ResultRecovery::recover(
+                    *freeFixture.model,
+                    *freeFixture.dofs,
+                    *freeFixture.stiffness,
+                    perturbed)
+                    .isOk());
+    for (const double metric : perturbed.verificationMetrics()) {
+        EXPECT_GT(metric, 0.0);
+        EXPECT_LE(metric, 1.0e-10);
+    }
+}
+
+// MITC4-REC-004
+TEST(ResultRecovery, UsesGlobalOriginForShellMomentBalance) {
+    auto centeredDefinition = makeShellDefinition();
+    auto translatedDefinition = centeredDefinition;
+    constexpr std::array<double, 3> translation{7.0, 11.0, 0.0};
+    for (auto& node : translatedDefinition.nodes) {
+        for (std::size_t component = 0U;
+             component < translation.size();
+             ++component) {
+            node.coordinates[component] += translation[component];
+        }
+    }
+    const auto centeredFixture = makeShellFixture(
+        std::move(centeredDefinition));
+    const auto translatedFixture = makeShellFixture(
+        std::move(translatedDefinition));
+    auto centered = makeShellPhysicalState(centeredFixture);
+    auto translated = makeShellPhysicalState(translatedFixture);
+    centered.externalForce()[0U] += 1.0e-9;
+    translated.externalForce()[0U] += 1.0e-9;
+
+    ASSERT_TRUE(fesa::ResultRecovery::recover(
+                    *centeredFixture.model,
+                    *centeredFixture.dofs,
+                    *centeredFixture.stiffness,
+                    centered)
+                    .isOk());
+    ASSERT_TRUE(fesa::ResultRecovery::recover(
+                    *translatedFixture.model,
+                    *translatedFixture.dofs,
+                    *translatedFixture.stiffness,
+                    translated)
+                    .isOk());
+    std::array<double, 3> centeredForce{};
+    for (std::size_t component = 0U; component < 3U; ++component) {
+        centeredForce[component] = centered.equilibrium()[component];
+        EXPECT_NEAR(
+            translated.equilibrium()[component],
+            centeredForce[component],
+            1.0e-12);
+    }
+    const std::array<double, 3> translatedMomentDelta{
+        translation[1U] * centeredForce[2U] -
+            translation[2U] * centeredForce[1U],
+        translation[2U] * centeredForce[0U] -
+            translation[0U] * centeredForce[2U],
+        translation[0U] * centeredForce[1U] -
+            translation[1U] * centeredForce[0U]};
+    for (std::size_t component = 0U; component < 3U; ++component) {
+        EXPECT_NEAR(
+            translated.equilibrium()[3U + component] -
+                centered.equilibrium()[3U + component],
+            translatedMomentDelta[component],
+            5.0e-12);
+    }
+    EXPECT_GT(std::abs(translatedMomentDelta[2U]), 1.0e-9);
+}
+
+// MITC4-REC-004
+TEST(ResultRecovery, UsesScaleAwareShellMetricsAndRejectsExcess) {
+    const auto fixture = makeShellFixture(makeShellDefinition());
+    auto subunit = makeShellPhysicalState(fixture);
+    auto large = makeShellPhysicalState(fixture);
+    constexpr double subunitScale = 1.0e-6;
+    constexpr double largeScale = 1.0e6;
+    subunit.displacement().scale(subunitScale);
+    subunit.externalForce().scale(subunitScale);
+    subunit.externalForce()[0U] += 1.0e-9 * subunitScale;
+    large.displacement().scale(largeScale);
+    large.externalForce().scale(largeScale);
+    large.externalForce()[0U] += 1.0e-9 * largeScale;
+
+    ASSERT_TRUE(fesa::ResultRecovery::recover(
+                    *fixture.model,
+                    *fixture.dofs,
+                    *fixture.stiffness,
+                    subunit)
+                    .isOk());
+    ASSERT_TRUE(fesa::ResultRecovery::recover(
+                    *fixture.model,
+                    *fixture.dofs,
+                    *fixture.stiffness,
+                    large)
+                    .isOk());
+    for (std::size_t metric = 0U; metric < 3U; ++metric) {
+        EXPECT_GT(subunit.verificationMetrics()[metric], 0.0);
+        EXPECT_GT(large.verificationMetrics()[metric], 0.0);
+        EXPECT_NEAR(
+            subunit.verificationMetrics()[metric],
+            large.verificationMetrics()[metric],
+            1.0e-13);
+    }
+
+    auto constrainedDefinition = makeShellDefinition(false, true);
+    constrainedDefinition.steps[0U].boundaries[0U].value = 1.0;
+    const auto constrainedFixture = makeShellFixture(
+        std::move(constrainedDefinition));
+    auto rejected = fesa::AnalysisState::create(
+        *constrainedFixture.dofs, {"Step-1", 0U});
+    for (std::size_t fullDof = 0U;
+         fullDof < constrainedFixture.dofs->fullDofCount();
+         ++fullDof) {
+        rejected.displacement()[fullDof] = 1.0;
+    }
+    const std::vector<fesa::CooContribution> unbalancedEntry{
+        {0U, 0U, 1.0, 0U, 0U}};
+    auto unbalancedStiffness = fesa::SparseMatrix::fromCoo(
+        constrainedFixture.dofs->fullDofCount(),
+        constrainedFixture.dofs->fullDofCount(),
+        unbalancedEntry,
+        constrainedFixture.dofs->sparsePattern());
+    ASSERT_TRUE(unbalancedStiffness.hasValue());
+    expectStatusCode(
+        fesa::ResultRecovery::recover(
+            *constrainedFixture.model,
+            *constrainedFixture.dofs,
+            unbalancedStiffness.value(),
+            rejected),
+        "global-equilibrium-tolerance-failure");
+}
+
+// MITC4-REC-005
+TEST(ResultRecovery, InvalidLaterShellLeavesEntirePriorStateUnchanged) {
+    const auto validFixture = makeShellFixture(makeShellDefinition(true));
+    auto state = makeShellPhysicalState(validFixture);
+    ASSERT_TRUE(fesa::ResultRecovery::recover(
+                    *validFixture.model,
+                    *validFixture.dofs,
+                    *validFixture.stiffness,
+                    state)
+                    .isOk());
+    ASSERT_EQ(state.shellResults().size(), 8U);
+    const auto priorFirstRow = state.shellResults().front();
+    const double priorEnergy = state.physicalStrainEnergy();
+    const auto priorEquilibrium = state.equilibrium();
+    const auto priorMetrics = state.verificationMetrics();
+    state.internalForce()[0U] = 91.0;
+    state.residual()[0U] = 92.0;
+    state.reaction()[0U] = 93.0;
+    state.endpointResults().push_back({});
+    state.displacement()[2U * 6U] =
+        (std::numeric_limits<double>::max)();
+    state.displacement()[5U * 6U] =
+        (std::numeric_limits<double>::max)();
+    state.externalForce() = fesa::Vector{validFixture.dofs->fullDofCount()};
+    auto zeroStiffness = fesa::SparseMatrix::fromCoo(
+        validFixture.dofs->fullDofCount(),
+        validFixture.dofs->fullDofCount(),
+        {},
+        validFixture.dofs->sparsePattern());
+    ASSERT_TRUE(zeroStiffness.hasValue());
+
+    const auto status = fesa::ResultRecovery::recover(
+        *validFixture.model,
+        *validFixture.dofs,
+        zeroStiffness.value(),
+        state);
+
+    expectStatusCode(status, "invalid-shell-recovery");
+    EXPECT_DOUBLE_EQ(state.internalForce()[0U], 91.0);
+    EXPECT_DOUBLE_EQ(state.residual()[0U], 92.0);
+    EXPECT_DOUBLE_EQ(state.reaction()[0U], 93.0);
+    EXPECT_EQ(state.endpointResults().size(), 1U);
+    ASSERT_EQ(state.shellResults().size(), 8U);
+    EXPECT_EQ(state.shellResults().front().element, priorFirstRow.element);
+    EXPECT_EQ(state.shellResults().front().location, priorFirstRow.location);
+    EXPECT_EQ(
+        state.shellResults().front().generalizedStrain,
+        priorFirstRow.generalizedStrain);
+    EXPECT_EQ(
+        state.shellResults().front().sectionResultant,
+        priorFirstRow.sectionResultant);
+    EXPECT_DOUBLE_EQ(state.physicalStrainEnergy(), priorEnergy);
+    EXPECT_EQ(state.equilibrium(), priorEquilibrium);
+    EXPECT_EQ(state.verificationMetrics(), priorMetrics);
+}