API's Results

Twisted Strip Benchmark: A rigorous convergence test with mesh refinement, comparing Abaqus C3D8 and C3D8I elements with the MRESS and the Hexa8 APIs.

This benchmark is designed to push the limits of element performance under extreme warping, transverse shear, and bending loads.

The aim here is to clearly show that Hexa8 is not the ideal API for thin-walled structures with bending loading. For that, the MRESS API is remarkably better. However, the Hexa8 API delivers the same results as the classical Abaqus C3D8 element and it is a good option for modelling bulk 3D compressible continuum.

Explore the gallery for an in-depth analysis of the mesh convergence results.

Check gallery below for the MRESS-API post-processed results on our GUI

Cook's membrane benchmark: The objective of this benchmark is to assess the accuracy of the element under membrane loading conditions.

The membrane is fixed along one edge and subjected to a distributed force of 100 N on the opposite edge. The material has a Young's modulus of 240.565 MPa, and two different Poisson's ratios are considered: (i) 0.4999 to simulate an almost incompressible material and (ii) 0.33 to represent a compressible membrane.

Explore the gallery for an in-depth analysis of the mesh convergence results.

Plate with a Circular Hole: A case example for validating the Hexa8 API for the stress concentration of a plate with a circular hole. It is well-known that the stress concentration at the edge of the circular hole must be equal to 3.0.

An applied stress of 100.0 MPa was used at the top face of the quarter-plate example shown in the pictures gallery below. Symmetry boundary conditions were applied.

Explore the gallery for an in-depth analysis of the results obtained.

Constituents of the API package

Stiffness Matrix (available now)

Stiffness matrix for the Hexa8 3D element. Required for linear and nonlinear analysis.

Geometric Stiffness Matrix (available soon)

Geometric (Initial Stresses) Stiffness matrix for the Hexa8 3D element. It is required for nonlinear analysis with implicit time integration scheme.

Internal Forces (available soon)

Internal Force Vector for the Hexa8 3D element. Critical for nonlinear analysis with implicit time integration schemes.

Strain Tensor (available now)

Calculates the deformation tensor at the Gauss Points (GP) of the Hexa8 3D element.

Rotation of local axes at the Gauss Points. Important for nonlinear co-rotational analysis, e.g. rotation of planar plastic anisotropic axes, rotation of composites ply axes at the GPs.

Axes Rotation at the GPs (available now)

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We will provide a C++ template demonstrating the use of our API for linear elastic analysis for a subscription of one year or above. This template leverages key API components, including the Stiffness Matrix and Strain Tensor, evaluated at all integration points of the element.

The template incorporates multi-threading with OpenMP to accelerate the computation of the Stiffness Matrix and the Strain Tensor, delivering performance gains of approximately 2.5x when using 6 threads.

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We have a comprehensive pre-processor and post-processor GUI for our APIs. The pre-processor imports mesh data and generates the input data for the API. The post-processor enables the visualisation of results. More details for the GUI can be found here.

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