Abstract: Persistent storage may contain a source model of a physical object that defines source geometric properties and source material properties of the physical object, wherein the physical object can be described using an inner product representation. One or more processors may be configured to: select effective geometric properties of an effective model, wherein the effective model is defined using a mesh of elements; determine effective material properties of the effective model such that the effective model defines the effective geometric properties and the effective material properties using the inner product representation; provide, to a solver application, the effective model; receive, from the solver application, an effective solution for the effective model; and generate a source solution to the source model by projecting the effective solution onto the source model, wherein the source solution is expressed as a field or gradients reconstructed based on each of the elements in the mesh.

Abstract: Methods and system for computing integrals over geometric domains using moment-base representations for interoperability are disclosed. A first computing device may receive data for geometric and field representations of an object, the geometric representation specifying a geometric domain of the object, and the field representation specifying a spatially varying physical quantity. The first computing device may integrate a predetermined set of basis functions over the geometric domain multiplied by a field to derive a moment-vector for the object, the moment-vector encapsulating an analytic formulation of the geometric domain that is independent of the geometric and field representations. The first computing device may computationally generate quadrature rules for integrating an arbitrary function by applying moment-fitting to the moment-vector.

Abstract: Methods and systems for evaluation of a physical object directly from a manufacturing process plan are disclosed. A procedural representation of the object may be retrieved from a database. A non-conforming grid of basis functions representing physics to be applied may be determined. Boundary conditions for numerical integration over the object geometry may be determined. The boundary conditions may specify a physical boundary of a portion of the object geometry, and a physical condition applied over the portion. From the procedural representation, geometry and material rules for numerical integration over the portion of the object geometry may be determined. The basis functions may be numerically integrated over the object geometry, and a system of linear equations determined describing the physics subject to the boundary conditions. The system of equations may be solved to evaluate a physical quantity, and a graphical representation of the physical quantity may be displayed.

Abstract: An example embodiment may involve obtaining a model of physical characteristics of a tangible composite laminate. The tangible composite laminate may include at least two plies, and the model may include representations of each respective ply. The example embodiment may also involve identifying a virtual material model of one or more plies of the tangible composite laminate. The virtual material model may be associated with characteristics that match the representations of the one or more plies of the tangible composite laminate. The example embodiment may further involve updating the model by replacing the representations, in the model, of the one or more plies of the tangible composite laminate with the virtual material model. The example embodiment may additionally involve conducting structural analysis of the updated model.

Abstract: Methods and system for computing integrals over geometric domains using moment-base representations for interoperability are disclosed. A first computing device may receive data for a geometric representation of an object, the geometric representation specifying a geometric domain corresponding to a shape and a contained spatial region of the object. The first computing device may computationally integrate a predetermined set of basis functions over the geometric domain to derive a moment-vector for the object, the moment-vector encapsulating an analytic formulation of the geometric domain that is independent of the geometric representation. The first computing device may then computationally generate quadrature rules for integrating an arbitrary function by applying moment-fitting to the moment-vector. The quadrature rules may be provided to a second computing device.

Abstract: An example embodiment may involve obtaining a model of physical characteristics of a tangible composite laminate. The tangible composite laminate may include at least two plies, and the model may include representations of each respective ply. The example embodiment may also involve identifying a virtual material model of one or more plies of the tangible composite laminate. The virtual material model may be associated with characteristics that match the representations of the one or more plies of the tangible composite laminate. The example embodiment may further involve updating the model by replacing the representations, in the model, of the one or more plies of the tangible composite laminate with the virtual material model. The example embodiment may additionally involve conducting structural analysis of the updated model.