Benchmark Manual – Table of Contents

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1. Introduction

• 1.1 Purpose of the Benchmark Manual
• 1.2 Scope of Benchmark Problems
• 1.3 Relationship Between Benchmarks, Verification, and Validation
• 1.4 Benchmark Classification by Physics and Element Type
• 1.5 General Modeling Assumptions and Conventions
• 1.6 Result Quantities and Error Comparison Methodology

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2. Membrane Benchmark Problems

• 2.1 Tapered Membrane End Load
• 2.2 Tapered Membrane Gravity Load
• 2.3 Tapered Membrane Edge Shear
• 2.4 Circular Membrane Edge Pressure
• 2.5 Circular Membrane Point Load
• 2.6 Circular Membrane Parabolic Temperature
• 2.7 Elliptic Membrane

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3. Cantilever and Beam Benchmark Problems

• 3.1 Tapered Cantilever Gravity Load
• 3.2 Z-Section Cantilever Torsion and Bending
• 3.3 Z-Section Cantilever Beam Bending

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4. Plate Benchmark Problems

• 4.1 Tapered Plate Edge Shear
• 4.2 Tapered Plate Gravity Load
• 4.3 Elliptic Plate Normal Pressure
• 4.4 Skew Plate Normal Pressure
• 4.5 Thick Plate Pressure

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5. Shell Benchmark Problems

• 5.1 Tapered Thick Shell Pressure Load
• 5.2 Tapered Thick Shell Gravity Load
• 5.3 Hemisphere External Pressure
• 5.4 Hemisphere Point Loads
• 5.5 Cylindrical Shell Edge Moment
• 5.6 Cylindrical Shell Pressure Load
• 5.7 Spherical Shell Inextensional Bending
• 5.8 Catenoidal Shell Internal Pressure
• 5.9 Catenoidal Shell Inextensional Bending
• 5.10 Cylinder-Sphere Internal Pressure
• 5.11 Circular Paraboloid Gravity
• 5.12 Axisymmetric Shell Pressure

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6. Axisymmetric Shell Benchmark Problems

• 6.1 Axisymmetric Hyperbolic Shell Edge Loading
• 6.2 Axisymmetric Hyperbolic Shell Pressure
• 6.3 Axisymmetric Catenoidal Shell Pressure
• 6.4 Axisymmetric Cylindrical Shell Edge Loading
• 6.5 Axisymmetric Cylindrical Shell Gravity
• 6.6 Axisymmetric Stiffened Cylinder Pressure
• 6.7 Axisymmetric Cylinder-Sphere Pressure
• 6.8 Axisymmetric Cylinder Sphere Pressure

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7. Thermal and Thermo-Mechanical Benchmark Problems

• 7.1 Circular Membrane Parabolic Temperature
• 7.2 Cylinder Taper Sphere Temperature
• 7.3 Solid Cylinder-Taper-Sphere Temperature

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