Related Experiment Video
Updated: Jul 11, 2026

Measuring and Modeling Contractile Drying in Human Stratum Corneum
Published on: March 1, 2017
Reconstructing the adhesion stiffness distribution in a laminated elastic plate: Exact and approximate inverse
Ricardo Leiderman1, Paul E Barbone, Arthur M B Braga
1Program of Mechanical Engineering, Federal University of Rio de Janeiro, Ilha do Fundo, P.B. 68509, Rio de Janeiro, RJ, Brazil. leider@mecanica.ufrj.br
Abstract:
This paper formulates and solves a time harmonic inverse scattering problem to reconstruct the effective stiffness distribution of an adhesive bond in a layered elastic plate. The motivation is based on the assumption that localized adhesion flaws that diminish bond stiffness also tend to diminish bond strength. The formulation is based on the invariant imbedding method, applies to isotropic and anisotropic elastic layers, and is essentially that of identifying embedded acoustic sources in elastic layered structures. This paper presents two solutions for the inverse problem: the Born approximation and the exact solution. The example calculations compare the two solutions and show that when imperfections are too large in either magnitude or extent the accuracy of the Born approximation breaks down. The impact of noise and uncertainties in the background properties in the inversion is also investigated. A regularization strategy is introduced in the exact solution that controls solution sensitivity in regions with low signal to noise ratio.
Related Concept Videos
Bending of Members Made of Several Materials
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
Elastic Curve from the Load Distribution
For all beams, the analysis of the beam's reaction to distributed loads begins by understanding the relationship between a beam's load and the resulting shear forces and bending moments. Initially, this...
Members Made of Elastoplastic Material
As the bending moment...
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Residual Stresses in Bending
Equation of the Elastic Curve
Consider a cantilever beam with a point load at its free end (for instance, a diving board). When analyzing beam deflection with small slopes, the shape of the beam's elastic curve becomes key. The governing equation for this analysis involves the bending moment and the beam's flexural rigidity,...
