Ansys Mechanical APDL Verification Manual

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VM1 - Statically Indeterminate Reaction Force Analysis

VM2 - Beam Stresses and Deflections

VM3 - Thermally Loaded Support Structure

VM4 - Deflection of a Hinged Support

VM5 - Laterally Loaded Tapered Support Structure

VM6 - Pinched Cylinder

VM7 - Plastic Compression of a Pipe Assembly

VM8 - Parametric Calculation of Point-to-Point Distances

VM9 - Large Lateral Deflection of Unequal Stiffness Springs

VM10 - Bending of a Tee-Shaped Beam

VM11 - Residual Stress Problem

VM12 - Combined Bending and Torsion

VM13 - Cylindrical Shell Under Pressure

VM14 - Large Deflection Eccentric Compression of a Column

VM15 - Bending of a Circular Plate Using Axisymmetric Elements

VM16 - Bending of a Solid Beam (Plane Elements)

VM17 - Snap-Through Buckling of a Hinged Shell

VM18 - Out-of-Plane Bending of a Curved Bar

VM19 - Random Vibration Analysis of a Deep Simply-Supported Beam

VM20 - Cylindrical Membrane Under Pressure

VM21 - Tie Rod with Lateral Loading

VM22 - Small Deflection of a Belleville Spring

VM23 - Thermal-structural Contact of Two Bodies

VM24 - Plastic Hinge in a Rectangular Beam

VM25 - Stresses in a Long Cylinder

VM26 - Large Deflection of a Cantilever

VM27 - Thermal Expansion to Close a Gap

VM28 - Transient Heat Transfer in an Infinite Slab

VM29 - Friction on a Support Block

VM30 - Solid Model of Surface Fillet

VM31 - Cable Supporting Hanging Loads

VM32 - Thermal Stresses in a Long Cylinder

VM33 - Transient Thermal Stress in a Cylinder

VM34 - Bending of a Tapered Plate (Beam)

VM35 - Bimetallic Layered Cantilever Plate with Thermal Loading

VM36 - Limit Moment Analysis

VM37 - Elongation of a Solid Bar

VM38 - Internal Pressure Loading of a Thick-Walled Cylinder

VM39 - Bending of a Circular Plate with a Center Hole

VM40 - Large Deflection and Rotation of a Beam Pinned at One End

VM41 - Small Deflection of a Rigid Beam

VM42 - Barrel Vault Roof Under Self Weight

VM43 - Bending of an Axisymmetric Thick Pipe

VM44 - Bending of an Axisymmetric Thin Pipe

VM45 - Natural Frequency of a Spring-Mass System

VM46 - 2D End Notched Flexure Problem

VM47 - Torsional Frequency of a Suspended Disk

VM48 - Natural Frequency of a Motor-Generator

VM49 - Electrostatic Field Analysis of Quadpole Wires

VM50 - Fundamental Frequency of a Simply Supported Beam

VM51 - Electrostatic Forces Between Charged Spheres

VM52 - Automobile Suspension System Vibration

VM53 - Vibration of a String Under Tension

VM54 - Vibration of a Rotating Cantilever Blade

VM55 - Vibration of a Stretched Circular Membrane

VM56 - Hyperelastic Thick Cylinder Under Internal Pressure

VM57 - Torsional Frequencies of a Drill Pipe

VM58 - Centerline Temperature of a Heat Generating Wire

VM59 - Lateral Vibration of an Axially-loaded Bar

VM60 - Natural Frequency of a Cross-ply Laminated Shell

VM61 - Longitudinal Vibration of a Free-free Rod

VM62 - Vibration of a Wedge

VM63 - Static Hertz Contact Problem

VM64 - Thermal Expansion to Close a Gap at a Rigid Surface

VM65 - Transient Response of a Ball Impacting a Flexible Surface

VM66 - Vibration of a Flat Plate

VM67 - Radial Vibrations of a Circular Ring

VM68 - PSD Response of a Two DOF Spring-mass System

VM69 - Seismic Response

VM70 - Seismic Response of a Beam Structure

VM71 - Transient Response of a Spring-Mass-Damper System

VM72 - Logarithmic Decrement

VM73 - Free Vibration with Coulomb Damping

VM74 - Transient Response to an Impulsive Excitation

VM75 - Transient Response to a Step Excitation

VM76 - Harmonic Response of a Guitar String

VM77 - Transient Response to a Constant Force

VM78 - Transverse Shear Stresses in a Cantilever Beam

VM79 - Transient Response of a Bilinear Spring Assembly

VM80 - Plastic Response to a Suddenly Applied Constant Force

VM81 - Transient Response of a Drop Container

VM82 - Simply Supported Laminated Plate Under Pressure

VM83 - Impact of a Block on a Spring Scale

VM84 - Displacement Propagation along a Bar with Free Ends

VM85 - Transient Displacements in a Suddenly Stopped Moving Bar

VM86 - Harmonic Response of a Dynamic System

VM87 - Equivalent Structural Damping

VM88 - Response of an Eccentric Weight Exciter

VM89 - Natural Frequencies of a Two-mass-spring System

VM90 - Harmonic Response of a Two-Mass-Spring System

VM91 - Large Rotation of a Swinging Pendulum

VM92 - Insulated Wall Temperature

VM93 - Temperature Dependent Conductivity

VM94 - Heat-generating Plate

VM95 - Heat Transfer from a Cooling Spine

VM96 - Temperature Distribution in a Short, Solid Cylinder

VM97 - Temperature Distribution Along a Straight Fin

VM98 - Temperature Distribution Along a Tapered Fin

VM99 - Temperature Distribution in a Trapezoidal Fin

VM100 - Heat Conduction Across a Chimney Section

VM101 - Temperature Distribution in a Short Solid Cylinder

VM102 - Cylinder with Temperature Dependent Conductivity

VM103 - Thin Plate with Central Heat Source

VM104 - Liquid-Solid Phase Change

VM105 - Heat Generating Coil with Temperature Conductivity

VM106 - Radiant Energy Emission

VM107 - Thermocouple Radiation

VM108 - Temperature Gradient Across a Solid Cylinder

VM109 - Temperature Response of a Suddenly Cooled Wire

VM110 - Transient Temperature Distribution in a Slab

VM111 - Cooling of a Spherical Body

VM112 - Cooling of a Spherical Body

VM113 - Transient Temperature Distribution in an Orthotropic Metal Bar

VM114 - Temperature Response to Increasing Temperature

VM115 - Thermal Response of a Heat-generating Slab

VM116 - Heat Conducting Plate with Sudden Cooling

VM117 - Electric Current Flowing in a Network

VM118 - Centerline Temperature of a Heat-generating Wire

VM119 - Centerline Temperature of an Electrical Wire

VM120 - Microstrip Transmission Line Capacitance

VM121 - Voltage Forced Coil

VM122 - Pressure Drop in a Turbulent Flowing Fluid

VM123 - Laminar Flow in a Piping System

VM124 - Discharge of Water from a Reservoir

VM125 - Radiation Heat Transfer Between Concentric Cylinders

VM126 - Heat Transferred to a Flowing Fluid

VM127 - Buckling of a Bar with Hinged Ends (Line Elements)

VM128 - Buckling of a Bar with Hinged Ends (Area Elements)

VM129 - Numerical Differentiation and Integration

VM130 - Fourier Series Generation for a Saw Tooth Wave

VM131 - Acceleration of a Rotating Crane Boom

VM132 - Stress Relaxation of a Tightened Bolt Due to Creep

VM133 - Motion of a Rod Due to Irradiation Induced Creep

VM134 - Plastic Bending of a Clamped I-Beam

VM135 - Bending of a Beam on an Elastic Foundation

VM136 - Large Deflection of a Buckled Bar (the Elastica)

VM137 - Large Deflection of a Circular Membrane

VM138 - Large Deflection Bending of a Circular Plate

VM139 - Bending of a Long Uniformly Loaded Rectangular Plate

VM140 - Stretching, Twisting and Bending of a Long Shaft

VM141 - Diametral Compression of a Disk

VM142 - Stress Concentration At a Hole in a Plate

VM143 - Fracture Mechanics Stress for a Crack in a Plate

VM144 - Bending of a Composite Beam

VM145 - Stretching of an Orthotropic Solid

VM146 - Bending of a Reinforced Concrete Beam

VM147 - Gray-Body Radiation within a Frustum of a Cone

VM148 - Bending of a Parabolic Beam

VM149 - Residual Vector in Mode-Superposition Harmonic Analysis

VM150 - Moisture Diffusion in a Plate Under Constant Surface Concentration

VM151 - Nonaxisymmetric Vibration of a Circular Plate

VM152 - 2D Nonaxisymmetric Vibration of a Stretched Membrane

VM153 - 3D Nonaxisymmetric Vibration of a Stretched Membrane

VM154 - Vibration of a Fluid Coupling

VM155 - Chaboche Rate-Dependent Plastic Material under Cyclic Loading

VM156 - Natural Frequency of a Nonlinear Spring-Mass System

VM157 - 3D Acoustic Modal Analysis with Temperature Change

VM158 - Motion of a Bobbing Buoy

VM159 - Temperature-controlled Heater

VM160 - Solid Cylinder with Harmonic Temperature Load

VM161 - Heat Flow From an Insulated Pipe

VM162 - Cooling of a Circular Fin of Rectangular Profile

VM163 - Groundwater Seepage (Permeability Analogy)

VM164 - Drying of a Thick Wooden Slab (Diffusion Analogy)

VM165 - Current-Carrying Ferromagnetic Conductor

VM166 - Long Cylinder in a Sinusoidal Magnetic Field

VM167 - Transient Eddy Currents in a Semi-Infinite Solid

VM168 - Magnetic Field in a Nonferrous Solenoid

VM169 - Permanent Magnet Circuit With an Air Gap

VM170 - Magnetic Field From a Square Current Loop

VM171 - Permanent Magnet Circuit With an Elastic Keeper

VM172 - Stress Analysis of a Long, Thick, Isotropic Solenoid

VM173 - Centerline Temperature of an Electrical Wire

VM174 - Bimetallic Beam Under Thermal Load

VM175 - Natural Frequency of a Piezoelectric Transducer

VM176 - Frequency Response of Electrical Input Admittance

VM177 - Natural Frequency of a Submerged Ring

VM178 - 2D Double Cantilever Beam Problem

VM179 - Dynamic Double Rotation of a Jointed Beam

VM180 - Bending of a Curved Beam

VM181 - Natural Frequency of a Flat Circular Plate

VM182 - Transient Response of a Spring-mass System

VM183 - Harmonic Response of a Spring-mass System

VM184 - Straight Cantilever Beam

VM185 - AC Analysis of a Slot Embedded Conductor

VM186 - Transient Analysis of a Slot Embedded Conductor

VM187 - Bending of a Curved Beam

VM188 - Force Calculation on a Current Carrying Conductor

VM189 - Stress Relaxation of a Chloroprene Rubber

VM190 - Ferromagnetic Inductor

VM191 - Hertz Contact Between Two Cylinders

VM192 - Cooling of a Billet by Radiation

VM193 - Evaluation of Stress Intensity Factor for an Inclined Crack Using XFEM Method

VM194 - Element Birth/Death in a Fixed Bar

VM195 - Toggle Mechanism

VM196 - Counter-Balanced Loads on a Block

VM197 - Rotating Elastic System

VM198 - Large Strain In-plane Torsion Test

VM199 - Oil Film Bearing Supporting a Rotating Shaft and Subjected to a Static Load

VM200 - Viscoelastic Sandwich Seal Analysis

VM201 - Rubber Cylinder Pressed Between Two Plates

VM202 - Transverse Vibrations of a Shear Beam

VM203 - Dynamic Load Effect on Supported Thick Plate

VM204 - Solid Model of an Axial Bearing

VM205 - Earth Pressure Problem Using Mohr Coulomb Model

VM206 - Stranded Coil with Voltage Excitation

VM207 - Stranded Coil Excited by External Circuit

VM208 - RL Circuit with Controlled Source

VM209 - Static Analysis of Double Bellows Air Spring

VM210 - Pyramid Validation of Tetrahedron to Hexahedron

VM211 - Rubber Cylinder Pressed Between Two Plates

VM212 - DDAM Analysis of Foundation System (2-DOF System)

VM213 - Differential Inductance of a Transformer

VM214 - Rotating Rod in a Uniform Magnetic Field

VM215 - Thermal-Electric Hemispherical Shell with Hole

VM216 - Lateral Buckling of a Right Angle Frame

VM217 - Portal Frame Under Symmetric Loading

VM218 - Hyperelastic Circular Plate

VM219 - Frequency Response of a Prestressed Beam using APDL MATH Commands

VM220 - Electromigration Diffusion Problem with Perfectly Blocking Diffusion Barrier

VM221 - Simulation of Shape Memory Alloy Effect

VM222 - Warping Torsion Bar

VM223 - Electro-Thermal Microactuator Analysis

VM224 - Implicit Creep under Biaxial Load

VM225 - Rectangular Cross-Section Bar with Preload

VM226 - 1D Advection Diffusion Problem

VM227 - Radiation Between Finite Coaxial Cylinders

VM228 - Radiation Between Infinite Coaxial Cylinders

VM229 - Friction Heating of Sliding Block

VM230 - Radiation Between Two Concentric Spheres

VM231 - Piezoelectric Rectangular Strip Under Pure Bending Load

VM232 - Stress Intensity Factor for a Single Edge Crack with Pressure Load Using UMM Method

VM233 - Static Force Computation of a 3D Solenoid Actuator

VM234 - Cyclic Loading of a Rubber Block

VM235 - Frequency Response of a Prestressed Beam

VM236 - Hysteresis Calculation of a Beam Under Electrostatic Load

VM237 - RLC Circuit with Piezoelectric Transducer

VM238 - Wheatstone Bridge Connection of Piezoresistors

VM239 - Mechanics of the Revolute and Universal Joints

VM240 - Thermal Expansion of Rigid Beams in a Composite Bar

VM241 - Static Force Computation of a 3D Solenoid Actuator

VM242 - Johnson-Champoux-Allard Equivalent Fluid Model

VM243 - Cantilever Beam with Triangular Loading Defined by Function

VM244 - Modal Analysis of a Cyclic Symmetric Annular Plate

VM245 - Squeeze Film Damping: Rectangular Plate

VM246 - Cyclic Analysis of an End-Loaded Hollow Cylindrical Cantilever Beam

VM247 - Campbell Diagrams and Critical Speeds Using Symmetric Bearings

VM248 - Delamination Analysis of Double Cantilever Beam

VM249 - Gasket Material Under Uniaxial Compression Loading - 2D Analysis

VM250 - Gasket Material Under Uniaxial Compression Loading - 3D Analysis

VM251 - Shape Memory Alloy Under Uniaxial Tension Load

VM252 - Gurson Bar-Necking Benchmark with Applied Displacement - 2D Analysis

VM253 - Gurson Hydrostatic Tension Benchmark - 3D Analysis

VM254 - Campbell Diagrams and Critical Speeds Using Symmetric Orthotropic Bearings

VM255 - Delamination Analysis using Contact Based Debonding Capability

VM256 - Evaluation of Fracture Parameters for a Center Crack in a Plate

VM257 - Transient Analysis of a Swing with Two Rigid Links and Beam

VM258 - Spin-up Maneuver of a Flexible Beam

VM259 - Missing Mass with Rigid Responses Effects in Spectrum Analysis for BM3 Piping Model

VM260 - Two-Dimensional Consolidation Settlement Problem

VM261 - Rotating Beam with Internal Viscous Damping

VM262 - 2D Fracture Problem Under Thermal Loading

VM263 - Critical Speeds for a Rotor Bearing System with Axisymmetric Elements

VM264 - Terzaghi's One-Dimensional Consolidation Settlement Problem

VM265 - Elastic Rod Impacting a Rigid Wall

VM266 - 3D Crossing Beams in Contact with Friction

VM267 - Inclined Crack in 2D Plate Under Uniform Tension Loading

VM268 - Mullins Effect on a Rubber Tube Model Subjected to Tension Loading

VM269 - Deformation of Tube and Sphere Modeled with Neo-Hookean Material Model

VM270 - Forces in Permanent Magnets

VM271 - Convection Treatment Problem for a Hollow Cylinder with Fluid Flow

VM272 - 2D and 3D Frictional Hertz Contact

VM273 - Shape Memory Alloy with Thermal Effect Under Uniaxial Loading

VM274 - Stabilizing Squeal Damping

VM275 - Mode Lock-in and Friction Induced Vibrations of a Pin-Disc Model

VM276 - Moisture Diffusion in a Plate Under Constant Flux

VM277 - Hall Plate in a Uniform Magnetic Field

VM278 - Effect of a Pipe Lying on the Ground Under Gravity Loading

VM279 - T-Stress for a Crack in a Plate Using the CINT Command

VM280 - Conduction in a Doubly Insulated Pipe Carrying Steam

VM281 - Effect of Stress Stiffening and Spin Softening on a Rotating Plate

VM282 - Mode-Superposition Response Analysis of a Piston-Fluid System

VM283 - Low Reduced Frequency Model for Visco-thermal Fluid with Thin Structure

VM284 - Acceleration Solution in Response Spectrum Analysis Using Missing Mass Method

VM285 - Determining the C* Integral in a Single-Edge Cracked Plate Problem

VM286 - Wear of a Block Under Uniform Compression

VM287 - Initial Crack-Growth Angle in a Pure Shear Problem with the XFEM Method

VM288 - Electrical Input Admittance on a Piezoelectric Transducer Using the Enforced Motion Approach

VM289 - Pressurized Spherical Cavity in an Infinite Medium with Perfectly Matched Layers (PML)

VM290 - Pressurized Spherical Cavity in an Infinite Medium Using Infinite Elements

VM291 - Force on the Boundary of a Semi-Infinite Body (Boussinesq Problem)

VM292 - Interference Fit Between Two Cylinders

VM293 - Evaluation of Stress Intensity Factor K_I Using the Unstructured Mesh Method (UMM)

VM294 - Fourier Series Analysis of a Diode Rectified Circuit

VM295 - One Dimensional Terzaghi's Consolidation Problem with Permeability as Function of Depth

VM296 - Radial Expansion of a Thermoplastic Cylinder

VM297 - Acoustic Propagation with Mean Flow in a Muffler

VM298 - PSD Analysis of 40-Story Building Under Wind Load Excitation

VM299 - Sound Diffusion in a Flat Room

VM300 - Sound Transmission Between Rooms Coupled Through a Partition Wall

VM301 - Critical Speed of a Rotating Disk

VM302 - Rotating Circular Ring

VM303 - 1D Steady-State Thermal Conduction in a Reinforced Block

VM304 - Sloshing Modes in a Hollow Cylindrical Cavity

VM305 - Simulation of Functionally Graded Material

VM306 - Surface Impedance for a Single Poroelastic Layer

VM307 - Vector-Oriented and Tapered Distributed Edge Load on a Rectangular Plate

VM308 - Steady-State Heat Conduction in Functionally Graded Hollow Cylinder and Hollow Sphere

VM309 - Torsional Buckling with Cruciform Section Beam

VM310 - Electrostatic-Structural Analysis of a MEMS Parallel-Plate Capacitor

VM311 - Electrostatic-Structural Analysis of a Cylindrical Capacitor

VM312 - Electrostatic-Structural Analysis of a Spherical Capacitor

VM313 - Pull-In Voltage of an Electrostatically Actuated Fixed-Fixed Beam

VM314 - Stresses of UHMWPE under Uniaxial Tension

VM315 - Simulation of Free Sintering

VM316 - J-integral for a Middle-Crack Tension Specimen Under Elastic-Plastic Deformation

VM317 - Multistage Cyclic Modal Analysis of a Hollow Cylinder

VM318 - Simulation of Necking of a Circular Bar

VM319 - Nonlinear Harmonic Analysis of a Cyclic Chain of Oscillators

VM320 - Nonlinear Harmonic Analysis of a Frictional Damper

VM321 - Steady-State Radiation Between a Fixed Plate and a Moving Plate

II. Benchmark Study Descriptions

1. Overview

1.1. Description of the Benchmark Studies
1.2. Benchmark Test Case Content and Nomenclature
1.3. Running the Benchmark Test Cases
1.4. Energy Norm
1.5. Benchmark Test Case Coverage Index

Benchmark C1 - Built-In Plate Under Uniformly Distributed Load

Benchmark C2 - Elliptic Membrane Under a Uniformly Load

Benchmark C3 - Barrel Vault Roof Under Self Weight

Benchmark C4 - Simply-Supported Thin Annular Plate

Benchmark C5 - Simply-Supported Solid Square Plate

Benchmark C6 - 2D Heat Transfer With Convection

Benchmark C7 - One-Dimensional Transient Heat Transfer

Benchmark C8 - Aluminum Bar Impacting a Rigid Boundary

Benchmark D1 - Straight Cantilever Beam Under Unit Load

Benchmark D2 - Barrel Vault Roof Under Self Weight

Benchmark D3 - Free-Free Vibration of a Solid Beam

III. NAFEMS Benchmarks

1. NAFEMS Benchmarks Overview
VMFEBSTA-LE1 - Linear Elastic Analysis on an Elliptical Membrane
VMFEBSTA-LE5 - Linear Elastic Analysis on a Z-Section Cantilevered Plate
VMLSB2-LE8 - Linear Elastic Axisymmetric Shell with Pressure Loading
VMLSB2-LE9 - Linear Elastic Axisymmetric Branched Shell with Pressure Loading
VMLSB2-LE11 - Linear Elastic Axisymmetric Shell with Pressure Loading
VMP09-T2 - Pin-Ended Double Cross: In-Plane Vibration
VMP09-T4 - Cantilever with Off-Center Point Masses
VMP09-T5 - Deep Simply-Supported Beam
VMP09-T12 - Free Thin Square Plate
VMP09-T15 - Clamped Thin Rhombic Plate
VMP09-T33 - Free Annular Membrane
VMP09-T52 - Simply-Supported 'Solid' Square Plate
VMR020-t1a - Center Cracked Plate in Tension
VMR020-t1b - Center Cracked Plate with Quadratic Thermal Distribution
VMR020-t2a - Single Edge Cracked Plate Subjected to Uniform Tensile Stress
VMR020-t2b - Single Edge Cracked Plate Subjected to Uniform Normal Displacement
VMR020-t3a - An Angle Crack Embedded in a Plate Subjected to Uniaxial Tension
VMR020-t3b - An Angle Crack Embedded in a Plate Subjected to Uniaxial Tension
VMR020-t3c - An Angle Crack Embedded in a Plate Subjected to Uniaxial Tension
VMR020-t4a - Crack at a Hole in a Plate Subjected to Uniaxial Tension
VMR020-t4b - Crack at a Hole in a Plate Subjected to Uniaxial Tension
VMR020-t5 - Axisymmetric Crack in a Bar
VMR020-t6 - Compact Tension Specimen
VMR020-t8a - V-Notch Cracked Plate Subjected to Uniform Tensile Stress
VMR020-t8b - V-Notch Cracked Plate Subjected to Uniform Normal Displacement
VMR027-3A - 2D Plane Stress - Biaxial (negative) Load Secondary Creep
VMR027-3B - 2D Plane Stress - Biaxial (negative) Displacement Secondary Creep
VMR027-4C - 2D Plane Stress - Shear Loading Secondary Creep
VMR027-5B - 2D Plane Strain - Biaxial Displacement Secondary Creep
VMR027-6B - 3D - Triaxial Displacement Secondary Creep
VMR027-10A - 2D Plane Stress - Biaxial (negative) Load Primary Creep
VMR027-10B - 2D Plane Stress - Biaxial (negative) Displacement Primary Creep
VMR027-10C - 2D Plane Stress - Biaxial (negative) Stepped Load - Primary Creep
VMR027-12B - 2D Plane Stress - Uniaxial Displacement Primary-Secondary Creep
VMR027-12C - 2D Plane Stress - Stepped Load Primary - Secondary Creep
VMR029-T1 - Elastic Large Deflection Response of a Z-Shaped Cantilever Upper End Load
VMR029-T4 - Lateral Torsional Buckling of an Elastic Cantilever Subjected to Transverse End Load
VMR029-T5 - Large deflection of a curved elastic cantilever under transverse end load
VMR029-T7 - Large Displacement of a Hinged Spherical Shell under Uniform Pressure Loading
VMR029-T9 - Large Elastic Deflection of a Pinched Hemispherical Shell
VMR031-T1 - Laminated Strip under Three-Point Bending
VMR031-T2 - Wrapped Thick Cylinder under Pressure and Thermal Loading
VMR031-T3 - Three-Layer Sandwich Shell under Normal Pressure Loading
VMR049-CR1 - Constant-Load Creep Benchmark
VMR049-CR2 - Constant-Displacement Creep Benchmark
VMR049-CR3 - Variable-Load Uniaxial Creep Benchmark
VMR049-CR4 - Pressurised Cylinder Creep Benchmark
VMR049-CR5 - Torsional Creep of Square Shaft
VMR049-CR6 - Thermally Induced Creep Benchmark
VMR049-PL1 - 2D Plane Strain Plasticity Benchmark
VMR049-PL2 - 2D Plane Stress Plasticity Benchmark
VMR049-PL3 - 3D Plasticity Benchmark
VMR049-PL5 - Pressurised Cylinder Plasticity Benchmark
VMR083-CA1 - Sound Radiation of a Vibrating Sphere
VMR083-CA2 - Sound Radiation of a Cylinder with Vibrating Lateral Surface

IV. NRC Piping Benchmarks