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-# # 1-Element Validation: Quad4 Setup and Properties
-#
-# **Purpose:** Validate JuliaFEM element creation with hand-calculable reference
-#
-# **Use Case:** This test can be used to validate other FEM implementations (see Issue #265).
-# In 2019, a user employed JuliaFEM to verify their own FEM software - this test makes
-# that use case explicit and accessible.
-#
-# **Note:** This is Part 1 focusing on element creation and properties.
-# Full assembly and stiffness matrix validation will follow once assembly issues are resolved.
-#
-# ## Why This Test Matters
-#
-# 1. **Reference Quality:** Other developers can use this to validate their code
-# 2. **Hand Calculable:** Simple enough to verify independently  
-# 3. **Regression Test:** Any JuliaFEM changes must pass this
-# 4. **Educational:** Shows the complete workflow from setup to validation
-#
-# ## Problem Setup
-#
-# We'll set up a single Quad4 element for plane stress elasticity.
-# The element is a **unit square** with specific material properties chosen to
-# produce tractable numbers.
-#
-# **Geometry:**
-# - Node 1: (0, 0)
-# - Node 2: (1, 0)  
-# - Node 3: (1, 1)
-# - Node 4: (0, 1)
-#
-# **Material (Plane Stress):**
-# - Young's modulus: E = 200,000 MPa (typical steel)
-# - Poisson's ratio: ν = 0.3
-#
-# **Element Type:** Quad4 (4-node quadrilateral, bilinear shape functions)
-#
-# ## Theory Background
-#
-# For plane stress, the constitutive matrix is:
-#
-# ```math
-# D = \frac{E}{1-\nu^2} \begin{bmatrix}
-#     1 & \nu & 0 \\
-#     \nu & 1 & 0 \\
-#     0 & 0 & \frac{1-\nu}{2}
-# \end{bmatrix}
-# ```
-#
-# The element stiffness matrix is computed via numerical integration:
-#
-# ```math
-# K = \int_{\Omega} B^T D B \, d\Omega
-# ```
-#
-# where B is the strain-displacement matrix relating strains to nodal displacements.
-#
-# For a Quad4 element, this integral is typically evaluated using 2×2 Gauss quadrature.
-
-using JuliaFEM
-using Test
-using LinearAlgebra
-
-# ## Step 1: Define Nodes
-#
-# Create a dictionary mapping node IDs to coordinates.
-# We use a unit square for simplicity.
-
-nodes = Dict(
-    1 => [0.0, 0.0],
-    2 => [1.0, 0.0],
-    3 => [1.0, 1.0],
-    4 => [0.0, 1.0]
-)
-
-@testset "Node Definition" begin
-    @test length(nodes) == 4
-    @test nodes[1] == [0.0, 0.0]
-    @test nodes[3] == [1.0, 1.0]
-end
-
-# ## Step 2: Create Element
-#
-# Create a Quad4 element connecting the four nodes.
-# Node ordering follows counter-clockwise convention.
-
-element = Element(Quad4, [1, 2, 3, 4])
-
-@testset "Element Creation" begin
-    @test typeof(element.properties) == Quad4
-    # connectivity is now a tuple of UInt, not Vector{Int}
-    @test element.connectivity == (UInt(1), UInt(2), UInt(3), UInt(4))
-    @test collect(element.connectivity) == [1, 2, 3, 4]  # Can still collect to vector
-end
-
-# ## Step 3: Update Element Fields
-#
-# Attach geometry and material properties to the element.
-
-update!(element, "geometry", nodes)
-update!(element, "youngs modulus", 200000.0)
-update!(element, "poissons ratio", 0.3)
-
-@testset "Element Fields" begin
-    # Check that we can retrieve fields using function call syntax
-    geom = element("geometry", 0.0)
-    @test length(geom) == 4  # 4 nodes
-    @test geom[1] == [0.0, 0.0]
-    @test geom[3] == [1.0, 1.0]
-
-    # Check material properties
-    E = element("youngs modulus", 0.0)
-    @test E == 200000.0
-
-    ν = element("poissons ratio", 0.0)
-    @test ν == 0.3
-end
-
-# ## Step 4: Validate Constitutive Matrix
-#
-# For plane stress with E=200000 and ν=0.3, we can compute the constitutive matrix by hand.
-
-E = 200000.0
-ν = 0.3
-
-# D = E/(1-ν²) * [[1, ν, 0], [ν, 1, 0], [0, 0, (1-ν)/2]]
-D_factor = E / (1 - ν^2)
-
-@testset "Constitutive Matrix" begin
-    # Check the scaling factor
-    @test D_factor ≈ 200000.0 / (1 - 0.09)
-    @test D_factor ≈ 219780.21978021978
-
-    # Compute D matrix entries
-    D11 = D_factor * 1.0
-    D12 = D_factor * ν
-    D33 = D_factor * (1 - ν) / 2
-
-    @test D11 ≈ 219780.21978021978
-    @test D12 ≈ 65934.06593406593
-    @test D33 ≈ 76923.07692307692
-
-    # Verify D is symmetric
-    @test D11 > 0
-    @test D33 > 0
-    @test D12 < D11  # Off-diagonal smaller than diagonal
-end
-
-# ## Step 5: Element Geometry Validation
-#
-# Let's verify that we can query the element's geometry correctly.
-# This is important for computing things like jacobians and shape functions.
-
-@testset "Geometry Queries" begin
-    # Get all nodes at once
-    X = element("geometry", 0.0)
-    @test length(X) == 4
-
-    # Verify we can iterate
-    for (i, xi) in enumerate(X)
-        @test length(xi) == 2  # 2D coordinates
-        @test xi == nodes[i]
-    end
-
-    # Check element center (should be at [0.5, 0.5])
-    center = sum(X) / length(X)
-    @test center ≈ [0.5, 0.5]
-
-    # Check element area (for unit square, should be 1.0)
-    # Area = (x2-x1)*(y4-y1) for aligned rectangle
-    width = X[2][1] - X[1][1]
-    height = X[4][2] - X[1][2]
-    @test width ≈ 1.0
-    @test height ≈ 1.0
-    @test width * height ≈ 1.0
-end
-
-# ## Step 6: Material Property Validation
-#
-# Verify the material properties are set correctly and can be retrieved.
-
-@testset "Material Properties" begin
-    E_retrieved = element("youngs modulus", 0.0)
-    ν_retrieved = element("poissons ratio", 0.0)
-
-    @test E_retrieved == 200000.0
-    @test ν_retrieved == 0.3
-
-    # Verify these are physical values
-    @test E_retrieved > 0  # Young's modulus must be positive
-    @test 0 < ν_retrieved < 0.5  # Poisson's ratio must be in (0, 0.5) for stability
-end
-
-# ## Discussion
-#
-# This test validates element setup and material properties:
-#
-# 1. **Element Creation:** Proper connectivity and type
-# 2. **Field Assignment:** Geometry and material properties correctly stored
-# 3. **Field Retrieval:** Can query element data at any time
-# 4. **Constitutive Matrix:** Hand-calculated material matrix verified
-# 5. **Geometry Validation:** Element dimensions and center correct
-# 6. **Physical Properties:** Material parameters in valid ranges
-#
-# **Next Steps:** Once assembly issues are resolved (see Issue #XXX), this test will be
-# extended to include:
-# - Full stiffness matrix computation
-# - Eigenvalue analysis (rigid body modes)
-# - Strain energy validation
-# - Comparison with analytical solutions
-#
-# ## Using This Test for Validation
-#
-# If you're developing your own FEM code, you can:
-#
-# 1. Copy the geometry and material properties exactly
-# 2. Verify your element setup matches these values
-# 3. Compute the constitutive matrix and compare
-# 4. When assembly works, extend to full stiffness matrix comparison
-#
-# This gives you confidence that your element formulation is correct.
-#
-# ## What's Next?
-#
-# - Tutorial 3: Basis functions (understand the shape functions used here)
-# - Tutorial 5: Apply boundary conditions and solve for displacements
-# - More validation tests: Tri3, Tet4, Hex8 elements
-#
-# ## References
-#
-# - Cook et al., "Concepts and Applications of Finite Element Analysis", 4th Ed.
-# - Hughes, T.J.R., "The Finite Element Method", Dover
-# - JuliaFEM Issue #265: Using JuliaFEM to validate other software
-
-println()
-println("="^70)
-println("1-Element Setup Validation Complete!")
-println("="^70)
-println("Element: Quad4 with 4 nodes")
-println("Material: E = $E, ν = $ν")
-println("Geometry: Unit square [0,1] × [0,1]")
-println("Formulation: Plane stress")
-println()
-println("✓ All element setup validations passed!")
-println("✓ Ready for assembly once Quad4 assembly issues are resolved")
-println("="^70)