Description Qty Item Price  
your basket is empty

sub total£0.00  
£ $
proceed to checkout

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 .