Abstract Heart disease is the leading cause of mortality worldwide. Many cardiac diseases are associated with altered elastic energy relations heart tissue. However, strain functions describing these characteristics limited since they were designed manually for highly specific experimental setups. In this study, we develop CHESRA (Cardiac Hyperelastic Evolutionary Symbolic Regression Algorithm)...

We analyze the influence of pre-stress on the propagation of interfacial waves along the boundary of an incompressible hyperelastic half-space that is in contact with a viscous fluid extending to infinity in the adjoining half-space. One aim is to derive rigorously the incremental boundary conditions at the interface; this derivation is delicate because of the interplay between the Lagrangian a...

We present a first-principles analysis of the strain renormalization of the cation diffusivity on the GaAs(001) surface. For the example of In/GaAs(001)-c(4 × 4) it is shown that the binding of In is increased when the substrate lattice is expanded. The diffusion barrier ∆E(ε) has a non-monotonic strain dependence with a maximum at compressive strain values (ε < 0), while being a decreasing fun...

The construction of regularization operators presented in this work is based on the introduction of strain or damage micromorphic degrees of freedom in addition to the displacement vector and of their gradients into the Helmholtz free energy function of the constitutive material model. The combination of a new balance equation for generalized stresses and of the micromorphic constitutive equati...

Black phosphorus (BP), a new two-dimensional material, has been the focus of scientists' attention. BP nanotubes have potential in the field of optoelectronics due to their low-dimensional effects. In this work, the bending strain energy, electronic structure, and optical properties of BP nanotubes were investigated by using the first-principles method based on density functional theory. The re...

Consider the constitutive law for an isotropic elastic solid with the strain-energy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stress-strain relation can then be inverted to give the strain in terms of the stress with a view to considering the incompressible limit. For this purpose, use of the logarithmic strain tensor is of pa...