A method for maintaining a physical asset based on recommendations generated by analyzing operational data and a composite model of a plurality of models representing the physical asset includes constructing, by a computing device, using a port-reduced static condensation reduced basis element approximation of at least a portion of a partial differential equation, the composite model. The computing device analyzes an error indicator associated with at least one model within the composite model to determine that the error indicator exceeds a tolerance level and increases a number of basis functions in the port-reduced static condensation reduced basis element approximation accordingly. The computing device receives first operational data associated with at least one region of the physical asset and updates the composite model. The computing device provides a recommendation for maintaining the physical asset, based upon the updated composite model.

A Boltzmann-based method for simulating a CVI densification process of a composite material is provided. Phase space occupancy is provided in the method, such that a geometrical model can be presented by using the concept of a matrix, and components of a space are distinguished; and a phase space occupancy matrix can directly participate in operation, which is equivalent to a natural division of grids and boundaries, and the boundaries are presented by a phase parameter, which is a natural capturing process. Flow field calculation of the method uses virtual time step calculation, such that a boundary condition can be written in a unified form, thereby improving the programmability.

A method, apparatus, and system for managing a composite part. An acceptable level of a warpage is identified for the composite part. The warpage for the composite part is a change in the composite part as manufactured that deviates from design specifications for the composite part. Orientations in a stacking sequence for plies in the composite part are selected that result in the composite part having the acceptable level of the warpage and a desired strength to form selected orientations. The composite part is manufactured using the selected orientations.

Systems and methods are provided for designing composite parts. One embodiment is a method for fabricating a composite part. The method includes receiving a design that defines a stacking sequence for a composite charge comprising plies that have different fiber orientations, defining a splice zone within the design, modifying the design by splicing plies in a manner that accommodates ply slippage when the composite charge is formed to a contour, and fabricating a composite part based on the design that was modified.

A computer-implemented physics solver operates within a neural network framework. A neural network accepts a coordinate for each location within a design domain and outputs a local composition for each location. A model of the design domain is formed in a physics solver. The model includes discrete elements that encompass the design domain. A solution of the model provides a value of a design objective. For a plurality of iterations, the following is performed: the neural network determines current local compositions for the locations in the design domain corresponding to the discrete elements; the current local compositions are input into the discrete elements of the physics solver to obtain a current value of the design objective; and the current value of the design objective is used to find a loss gradient of a loss function. The loss gradient is used to update the neural network during the iterations.

Example mixture modeling systems and methods are described. In one implementation, a system includes an encoder that receives multiple base ingredients and produces multiple corresponding representations. A composite modeler receives a mixture definition comprising a list of base ingredients and their relative proportions. The composite modeler generates a representation of the mixture. A decoder is receives a representation of a mixture and generates a list of features.

Methods, systems, and apparatus for generating a recipe for a concrete mixture, comprising: obtaining an optical characterization of a set of particles; determining, based on the optical characterization, physical characteristics of the set of particles; generating a multispherical approximation of the set of particles; selecting, based on the physical characteristics of the set of particles and from a database of performance rules, performance rules applicable to the set of particles; predicting performance of a proposed recipe for a concrete mixture formed from the set of particles by: determining a wet flowability rating of the proposed recipe based on the selected performance rules; and determining a dry packing rating of the proposed recipe based on the multispherical approximation; iteratively altering the proposed recipe and predicting performance of the altered proposed recipe until the predicted performance satisfies performance criteria to obtain a final recipe; and outputting the final recipe.

A method of designing an anisotropic composite laminate structure to constitute a predetermined member of an airframe structure of an aircraft and includes a plurality of types of composite layers containing reinforcing fibers with different fiber orientations is provided. The method includes dividing the anisotropic composite laminate structure in the predetermined member into a plurality of regions in a thickness direction. The method includes determining, for each of the regions, at least a stacking sequence of the plurality of types of composite layers in accordance with a direction of stress acting on the predetermined member.

A method for modeling joints using User Element (UEL) techniques by analytically eliminating a series of internal degrees of freedom for representing actual weld or joint stiffness in structures. The resulting formulation is in closed-forms enabling computational accuracy and simplicity for structural applications. For spot joint, the detailed ring type of finite elements required to achieve a reasonable accuracy can be replaced by a simple finite element mesh using just four user elements. The UEL joint modeling method offers accurate stress calculation results by comparing with the mesh-insensitive structural stress method coupled with a detailed explicit joint representation of joints. The UEL method can also be applied for modeling seam welded joints, e.g., MIG, laser, and friction stir welds. The explicit representation of weld fillet geometry required by existing methods is no longer needed by the UEL plate/shell elements without losing any accuracy.

A method to design the kits and layup the reinforcement layers and core using projection system, comprising a mold having a contoured surface; a layup projection generator which: defines a plurality of mold sections; identifies the dimensions and location for a plurality of layup segments. A model-based calibration method for alignment of laser projection system is provided in which mold features are drawn digitally, incorporated into the plug(s) which form the wind turbine blade mold, and transferred into the mold. The mold also includes reflective targets which are keyed to the molded geometry wherein their position is calculated from the 3D model. This method ensures the precision level required from projection system to effectively assist with fabrication of wind turbine blades. In this method, digital location of reflectors is utilized to compensate for the mold deformations.