Hyperelasticity
Hyperelastic materials are characterized by this scalar function from which stresses are derived.
What is the strain energy density function (W)?
In ABAQUS/CAE, the module used to define geometry and mesh it is called this.
What is the Part module?
Gauss quadrature uses weighted sums of function values at these specific locations.
What are Gauss points (or integration points)?
This condition applies to thin flat plates, where out-of-plane stresses are assumed to be zero.
What is plane stress?
At Rice University, this professor leads a lab focused on multiphysics modeling, soft electronics, and finite element analysis.
Who is Raudel Avila?
This second-order tensor describes the stretch and rotation-free part of deformation in hyperelastic models.
What is the right Cauchy-Green deformation tensor (C = FᵀF)?
Before running a simulation in ABAQUS, the geometry must be divided into small elements in this process.
What is meshing?
A one-point Gauss quadrature rule can exactly integrate polynomials of this degree.
What is degree 1 (i.e., linear)?
Plane strain is typically used in problems involving this kind of geometry.
What is thick or infinitely long bodies in one direction?
In one of his recent research directions, Raudel models this physiological fluid dynamic during breastfeeding using bioimpedance sensors.
What is milk flow?
In hyperelastic materials, the first Piola-Kirchhoff stress tensor is obtained by differentiating W with respect to this tensor.
What is the deformation gradient (F)?
To view your simulation results, like stress, displacement, and deformation, you use this ABAQUS module.
What is the Visualization module?
This determinant is used to transform integrals from physical coordinates to the reference domain.
What is the Jacobian determinant?
This type of finite element is often used in 2D triangular meshes.
What is a linear 3-node triangle (T3 element)?
What is the best sport (according to Raudel)?
Baseball
This widely-used hyperelastic model is ideal for nearly incompressible rubber-like materials?
What is the Mooney-Rivlin (or Neo-Hookean) model?
To ensure solution accuracy in 3D for nearly incompressible materials using implicit analysis, ABAQUS recommends this element type.
What is hybrid (C3D8H, for example) elements?
In 1D isoparametric elements, numerical integration is often performed over this linear domain.
[-1, 1]
In 2D elasticity, the stress-strain relationship is governed by this matrix.
What is the constitutive (elasticity) matrix [D]
Raudel teaches this foundational engineering course that covers equilibrium, internal forces, and beam theory.
What is Statics?
Hybrid finite elements are used when standard displacement-based elements perform poorly, especially under nearly incompressible conditions. These elements introduce this additional field variable to improve performance.
What is pressure (or a stress field as an independent variable)?
When a simulation fails to converge in ABAQUS/Standard, this type of diagnostic output file is essential for checking residuals, iterations, and contact issues.
What is the .msg (message) or .dat (data) file?
If underintegration is used in certain elements, it may lead to this numerical artifact.
What is hourglassing (or reduced integration instability)?
In 2D problems, the stiffness matrix is computed by integrating this expression over the element area.
What is BᵀDB dA?
In modeling bioresorbable electronics, Raudel often considers this kind of “vanishing” behavior over time.
What is transient degradation (or time-dependent dissolution)?