A finite strain gradient model for the 3D analysis of materials containing spherical voids is presented. two-scale approach proposed: a least-squares methodology RVE with quadratic displacements and full high-order continuum both fourth-order sixth-order elasticity tensors. meshless method adopted using radial basis function interpolation polynomial enrichment. Both first second derivatives res...

Several beam and plate models have been recently developed in the literature to accommodate for size-dependence. These are usually obtained starting from a generalized continuum theory (such as couple-stress, strain-gradient or non-local their modifications) then deducing governing equations through Hamilton’s principle ingenuous kinematical assumptions. This approach, originated by Kirchhoff, ...

In recent years, the diagnostic confidence of B-mode ultrasound has been strengthened by innovations including tissue Doppler techniques and imaging of tissue elasticity. Elasticity is the ratio of the strain (pressure) required to induce relative elongation or distention (Figure 1). The intrinsic elasticity of biological tissue is altered by physiologic aging and pathologic processes such as i...

This research develops thermo-elastic analysis of a functionally graded cylinder under thermo-mechanical loadings. Heat conduction equation in cylindrical coordinate system is solved. Thermal conductivity coefficient is graded along the radial direction. By considering a symmetric distribution of temperature, loading and boundary conditions, strain-displacement and stress-strain relations can b...

The extracellular matrix (ECM) is a complex assembly of structural proteins that provides physical support and biochemical signaling to cells in tissues. The mechanical properties of the ECM have been found to play a key role in regulating cell behaviors such as differentiation and malignancy. Gels formed from ECM protein biopolymers such as collagen or fibrin are commonly used for 3D cell cult...

Concepts from Finsler differential geometry are applied towards a theory of deformable continua with internal structure. The general theory accounts for finite deformation, nonlinear elasticity, and various kinds of structural features in a solid body. The general kinematic structure of the theory includes macroscopic and microscopic displacement fields – i.e., a multiscale representation – whe...

A system of partial differential equations (PDEs) is derived to compute the full-field stress from an observed kinematic field when flow rule governing plastic deformation unknown. These generalize previously proposed that assume pure behavior without elasticity. method numerically solve these also presented. In addition force balance, are elastic–plastic decomposition gradient, assumption isot...

Plaque elasticity (i.e., modulogram) and morphology are good predictors of plaque vulnerability. Recently, our group developed an intravascular ultrasound (IVUS) elasticity reconstruction method which was successfully implemented in vitro using vessel phantoms. In vivo IVUS modulography, however, remains a major challenge as the motion of the heart prevents accurate strain field estimation. We ...