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ESSMS

Source: vignettes/essms/index.Rmd
index.Rmd

Overview

Unvalidated
Theory Implementation

The elastic-shelled spherical modal-series model (ESSMS) calculates scattering from an elastic spherical shell around an inner fluid or cavity.

Core idea

Represent the exterior and interior acoustic fields and the shell’s longitudinal and transverse elastic fields in spherical modes. Match pressure, displacement, and traction at both interfaces (Goodman and Stern 1962; Faran 1951).

Best for

  • Spherical elastic shells with fluid or gas-like interiors
  • Shell-resonance and thickness-sensitivity studies
  • Canonical layered-sphere calculations where shell elasticity must be retained

Supports

  • Spherical ESS objects with an explicit shell and inner fluid
  • Shell density, elastic moduli, longitudinal speed, and shear speed
  • User-controlled modal truncation

Main assumptions

  • Concentric spherical interfaces
  • Homogeneous isotropic shell and homogeneous inner fluid
  • Linear elasticity and linear acoustics
  • No viscosity, nonspherical deformation, or eccentric core

Validation status

  • The package does not yet claim external validation across the current public scope.

Family pages

  • Implementation: object construction, output, and current validation scope
  • Theory: layered fields, interface tractions, and modal systems

References

Faran, James J. 1951. “Sound Scattering by Solid Cylinders and Spheres.” The Journal of the Acoustical Society of America 23 (4): 405–18. https://doi.org/10.1121/1.1906780.
Goodman, Ralph R., and Raya Stern. 1962. “Reflection and Transmission of Sound by Elastic Spherical Shells.” The Journal of the Acoustical Society of America 34 (3): 338–44. https://doi.org/10.1121/1.1928120.