Introduction

Intact Solutions is building a fully-automated finite element solution that operates on a wide variety of geometry representations. Our technology is built on classical methods such as the Galerkin method, Kantorovich method, and moment-fitting. Our main value proposition is in automating the meshing process by covering the geometric domain in cells which do not necessarily conform to the boundary of the domain.

While a naive implementation of this would have numerical issues evaluating the integrals within each finite element, we have developed a patent-pending method to accurately and efficiently evaluate integrals within each cell for arbitrary geometry representations.

Goal of this Document

Any simulation solution should be held to the highest standard of accuracy, fidelity, and transparency so that new users can be confident in the numerics, mathematical basis, and software embodiment of the software that will be an integral part of their workflow.

The purpose of this document is to demonstrate that our software can match analytical and trusted computational results from the literature and industry. We hope to increase the reader’s confidence in our method and implementation for real-world applications. If you, the reader, have comments, concerns, or suggestions on this document, please feel free to send them to info@intact-solutions.com, and we would be happy to address them.

Download the document here.

Physics 1: Linear Static Elasticity

  • Problem 1.1 Cantilever beam under gravity (with convergence)
  • Problem 1.2 Cantilever beam under different loading conditions
  • Problem 1.3 Curved beam under different loading conditions
  • Problem 1.4 Twisted beam under different loading condition
  • Problem 1.5 Rectangular Plate under different loading condition
  • Problem 1.6 Stress Concentration in a Plate with a Hole

Physics 2: Modal or Frequency Analysis

  • Problem 2.1 Tapered Beam
  • Problem 2.2 Clamped Square Plate
  • Problem 2.3 Free Thin Square Plate
  • Problem 2.4 Thick Rhombic Plate
  • Problem 2.5 Pin-ended Cross

Physics 3: Stationary Thermal

  • Problem 3.1 Wall with Convection
  • Problem 3.2 Bar with Fixed Temperature and Convection
  • Problem 3.3 Cylinder with Convection
  • Problem 3.4 Cylinder with Fixed Temperatures
  • Problem 3.5 Frame with Fixed Temperature

Physics 4: Transient Thermal

  • Problem 4.1 Sphere with Convection

Reference