Direct numerical simulation (DNS) yields the highest fidelity predictions of mechanical deformation at pore scale, but is prohibitively expensive for analyzing large or many samples. Discrete element methods (DEM) are an efficient alternative, limited to granular media and incapable estimating controlling prediction errors. We present a pore-level multiscale method (PLMM) that approximates DNS ...

Atomic Force Microscopy (AFM) is a widely used tool to study cell mechanics. Current AFM setups perform high-throughput probing of living cells, generating large amounts of force-indentations curves that are subsequently analysed using a contact-mechanics model. Here we present several algorithms to detect the contact point in force-indentation curves, a crucial step to achieve fully-automated ...

BACKGROUND A mismatch of the original lateral meniscus and a lateral meniscus allograft by inaccurate preoperative radiographic sizing can have significant consequences on ultimate function. HYPOTHESIS The size of a lateral meniscal allograft affects the contact mechanics of the femoral condyle on the tibial plateau. STUDY DESIGN Controlled laboratory study. METHODS Four right and 2 left ...

We present a geometric Lagrangian formulation for first-order field theories with dissipation. This is based on the $k$-contact geometry introduced in previous paper, and gathers contact mechanics $k$-symplectic theory together. also study symmetries dissipation laws these nonconservative theories, analyze some examples.

The contact mechanics of soft matters is strongly affected by short-range adhesive interactions, which can lead to large deformations and instabilities.

The data included here provides a basis for understanding "Interior morphology of high-performance polyethylene fibers revealed by modulus mapping" (K.E. Strawhecker, E.J. Sandoz-Rosado, T.A. Stockdale, E.D. Laird, 2016) [1], in specific: the multi-frequency (AMFM) atomic force microscopy technique and its application to ultra-high-molecular-weight Polyethylene (UHMWPE) fibers. Furthermore, the...

Kinematics are widely used in computational processes as input parameters for displacement driven models. Small errors in kinematics can lead to compounded errors in final contact results hence accuracy is of utmost importance [1]. When using registration to acquire kinematics from images, for instance magnetic resonance imaging (MRI), the initial conditions from manual registration may potenti...

We address the question of the appearence of ordinary quantum mechanics in the context of noncommutative quantum mechanics. We obtain the noncommutative extension of the Hu-Paz-Zhang master equation for a Brownian particle linearly coupled to a bath of harmonic oscillators. We consider the particular case of an Ohmic regime.

We present a formulation of rigid body dynamics with frictional contact that leverages ideas from discrete mechanics to derive time-stepping schemes with any desired order of integration accuracy. By utilizing the new time-stepping methods as dynamics constraints in a direct trajectory optimization scheme, we are able to perform contact-implicit trajectory optimization with accuracy equal to tr...