In the respiratory system, loss of elasticity [1], stiffening of the thorax, reduction in respiratory muscle strength [2], and loss in the diaphragm strength [3] are the most significant changes.
The main object of this paper is the Cauchy problem for the dynamic system of anisotropic elasticity.
From a mathematical standpoint, the elastography inverse problem consists of identifying the variable Lamé parameter μ in a system of linear elasticity where the underlying object exhibits nearly incompressible behavior.
The following parameters based on net fabric area were obtained as representative of the tensile behavior of the FRCM system: tensile modulus of elasticity of the cracked specimen, E f, ultimate tensile strain, ε fu, ultimate tensile strength, f fu.
Let {Lε} be a family of elliptic systems of linear elasticity with rapidly oscillating periodic coefficients.
By using Green's identity and boundary conditions (1c) and (1d), we obtain the following weak form of elasticity system (1a - 1d): Find u ¯ ∈ V ˆ such that ∫ Ω 2 μ ϵ ( u ¯ ) ⋅ ϵ ( v ¯ ) + ∫ Ω λ ( div u ¯ ) ( div v ¯ ) = ∫ Ω f v ¯ + ∫ Γ 2 v ¯ h for every v ¯ ∈ V ˆ. (2).
Elevating force values on stiffening substrates with a virtually unaffected cell force generating system opened the possibility of elasticity adapted contractile amplitudes of myofibrils.
The corresponding numerical results were obtained for the stiff upper layer and soft lower layer system in which the constants of elasticity for the upper layer material are greater than those of the lower layer material.
The corresponding numerical results were obtained for the stiffer layer and soft half-plane system in which the modulus of elasticity of the covering layer material (for the moving direction of the load) is greater than that of the half-plane material.
Corresponding numerical results were obtained for the stiffer layer and soft half-plane system in which the modulus of elasticity of the covering layer material (for the moving direction of the load) is greater than that of the half-plane material, which was assumed to be isotropic.
