Elastic Stress Analysis
2D and 3D general benchmarks:
- tapered membrane with end load
- tapered membrane with inertia load
- tapered membrane with edge shear
- tapered membrane with gravity load
- circular membrane with edge pressure
- circular membrane with point load
- circular membrane with parabolic temperature
- membrane panel with shear diffusion
- elliptical membrane with edge pressure
- tapered axisymmetric solid with pressure
- tapered axisymmetric solid with gravity load
- cylinder/taper/sphere axisymmetric solid with temperature
- solid elliptical thick plate with pressure
- solid cylinder/taper/sphere with temperature
Benchmarks P07 , P08 , P05 (subset of above), P18 (subset of above), R0006 (subset of above).
plates
- tapered plate with edge shear
- tapered plate with gravity load
- elliptical plate with normal pressure
- skew plate with normal pressure
Benchmarks P07 , P08 , P05 (subset of above), P18 (subset of above), R0006 (subset of above).
shells
- hemispherical thin shell with pressure
- hemispherical thin shell with pinch load
- cylindrical shell regular mesh with edge moment
- cylindrical shell regular mesh with pressure
- cylindrical shell distorted mesh with edge moment
- cylindrical shell distorted mesh with pressure
- spherical shell regular mesh with inextensional bending
- catenoidal shell with pressure
- catenoidal shell regular mesh with inextensional bending
- catenoidal shell distorted mesh with inextensional bending
- cylinder/sphere with pressure
- circular paraboloid with gravity load
- Z-section cantilever folded plate with torsional bending
- Z-section cantilever folded plate with beam bending
- hyperbolic axisymmetric shell with edge load
- hyperbolic axisymmetric shell with pressure
- hyperbolic axisymmetric shell with harmonic edge load
- axisymmetric catenoidal shell with pressure
- axisymmetric cylindrical shell with edge load
- axisymmetric cylindrical shell with gravity load
- axisymmetric stiffened cylinder with pressure
- axisymmetric cylinder/sphere with variable thickness and pressure
- axisymmetric cylinder/sphere with constant thickness and pressure
- axisymmetric shell with pressure
- axisymmetric branched shell with pressure
Benchmarks P07 , P08 , P04 (subset of above), P05 (subset of above), P18 (subset of above), R0006 (subset of above).
three-layer sandwich shell under normal pressure loading
Benchmark R0031 .
solutions for a set of patch tests for shells with zero and positive Gaussian curvature
Benchmark P12 .
Common fabrication details in shell structures:
- axisymmetric shell intersection (pressurised cylinder with larger end plate)
- reinforced axisymmetric plate with localised loading
- axisymmetric plate with overlapping offset outer plate with radial loading
Benchmark R0089 .
composites
- composite strip with lay-up under three-point bending
- square plate with lay-up under normal pressure
- strip with ply drop-off under tension
- perforated composite strip with lay-up under tension
- wrapped thick cylinder with lay-up under pressure, thermal loading and radial loads
Benchmark R0003 .
- laminated strip under three-point bending
- wrapped cylinder under pressure and thermal loading
- three-layer sandwich shell under normal pressure loading
Benchmark R0031 .
- circular plate with central point load giving mode II shear-driven curved crack delamination
- circular plate with uniform pressure giving mode II shear-driven curved crack delamination
- double cantilever beam showing delamination in a thermoset material
- double cantilever beam showing delamination in a thermoplastic material
Benchmark R0084 .
- laminated plate with several through-thickness-plies, various ply orientations and various mechanical loads, for membrane and bending modulus matrices
Benchmark R0092 .
- laminated plate with several through-thickness-plies, various ply orientations and various mechanical and thermal loads, for strength analysis
Benchmark R0093 .
element performance and shape sensitivity
Basic element tests:
- single element completeness tests for membranes
- patch test for an assemblage of membrane elements
- false zero energy mode tests for membrane elements
- invariance tests for membrane elements
- shape sensitivity tests for membrane elements
- single element completeness tests for plate elements
- patch test for an assemblage of plate bending elements
- false zero energy mode tests for plate elements
- invariance tests for plate elements
- shape sensitivity tests for plate elements
Benchmark P01 .
2D single element tests:
- 8 node plane stress element, skew parallelopiped, constant moment
- 8 node plane stress element, one side curved outwards, constant moment
- 6 node plane stress element, one side curved outwards, constant moment
- 6 node plane stress element, one side curved inwards, linear moment
- 8 node plane stress element, skewed and stretched, constant moment
Benchmark R0012 .
