# Research Topics of Solid Mechanics[PhD MS Thesis Papers]

## Research area interest and ideas: Solid Mechanics

• A selection of benchmark problems in solid mechanics and applied mathematics

• A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics

• Solid mechanics of the torus–margo in conifer intertracheid bordered pits

• The shifted boundary method for solid mechanics

• An eXtended Finite Element Method Implementation in COMSOL Multiphysics: Solid Mechanics

• A class of nonlinear inclusions and sweeping processes in solid mechanics

• Thirty years of the finite volume method for solid mechanics

• Implementation of finite element method for solid mechanics problems in Julia programming language

• Nonlinear solid mechanics for finite element analysis: dynamics

• Petroleum rock mechanics: An area worthy of focus in geo-energy research

• Electro-chemo-mechanics of lithium in solid state lithium metal batteries

• 41st Solid Mechanics Conference (SOLMECH 2018) Warsaw, August 27-31, 2018

• Special Issue of the 10th German–Greek–Polish symposium on “Recent Advances in Mechanics” 2019

• Multiscale formulation of frictional contact mechanics at the pore scale

• FEMS–A Mechanics-oriented Finite Element Modeling Software

• Efficient data structures for model-free data-driven computational mechanics

• Variational modelling of strain localization in solids: a computational mechanics point of view

• Dynamic behavior of thermoelastic solid continua using mathematical model derived based on non-classical continuum mechanics with internal rotations

• Microscale diffusion-mechanics model for a polymer-based solid-state battery cathode

• An axisymmetric solid SPH solver with consistent treatment of particles close to the symmetry axis

• Multilayered non‐uniform atomic force microscope piezoelectric microcantilever control and vibration analysis considering different excitation based on the modified …

• Fluid–solid interaction in the rate-dependent failure of brain tissue and biomimicking gels

• Chemo-mechanical modeling of stress evolution in all-solid-state lithium-ion batteries using synchrotron transmission X-ray microscopy tomography

• Lagrangian finite element method with nodal integration for fluid–solid interaction

• The Application of Standard Nonlinear Solid Material Models in Modelling the Tensile Behaviour of the Supraspinatus Tendon

• Numerical fracture mechanics as a practical failure investigatory tool: The outlook of cracked round bars

• Mechanics of vitrimer with hybrid networks

• Economic analysis based on the unit weight of hot mix asphalt

• Mechanics based tomography (MBT): validation using experimental data

• Stabilized finite element method for incompressible solid dynamics using an updated Lagrangian formulation

• The mixed deep energy method for resolving concentration features in finite strain hyperelasticity

• Fracture resistance of railway ballast rock under tensile and tear loads

• Dynamic fracture behavior of nanocracked graded magnetoelectroelastic solid

• Hybrid High-Order Methods. A Primer with Applications to Solid Mechanics, SpringerBriefs in Mathematics

• Model-free data-driven computational mechanics enhanced by tensor voting

• Pressure-driven micro-poro-mechanics: A variational framework for modeling the response of porous materials

• Integrated analysis of VVER-1000 fuel assembly fueled with accident tolerant fuel (ATF) materials

• A first order hyperbolic framework for large strain computational solid dynamics. Part III: Thermo-elasticity

• Deformation response of roof in solid backfilling coal mining based on viscoelastic properties of waste gangue

• Variable-order fracture mechanics and its application to dynamic fracture

• Intelligent step-length adjustment for adaptive path-following in nonlinear structural mechanics based on group method of data handling neural network

• Machine Learning Neural-Network Predictions for Grain-Boundary Strain Accumulation in a Polycrystalline Metal

• A sectional critical plane model for multiaxial high‐cycle fatigue life prediction

• Towards the simulation of active cardiac mechanics using a smoothed finite element method

• Reproducible validation and replication studies in nanoscale physics

• Introduction to unified mechanics theory with applications

• Mechanics of aircraft structures

• Fatigue life and reliability assessment of metal structures

• Modeling the chemo-mechanical behavior of all-solid-state batteries: a review.

• Pore-scale modeling of gas diffusion layers: Effects of compression on transport properties

• A nonlocal physics-informed deep learning framework using the peridynamic differential operator

• A machine-learning framework for peridynamic material models with physical constraints

• Modeling of Pentamode Metamaterials Under Dynamic Loading

• Plithogenic Probability & Statistics are generalizations of MultiVariate Probability & Statistics

• Constitutive model of isotropic magneto-sensitive rubber with amplitude, frequency, magnetic and temperature dependence under a continuum mechanics basis

• Application of Fracture Mechanics to Structural Fatigue Assessment Based on Spectral Method

• Finite Element Analysis of Linear Buckling of Circular Thin Plates for Different Boundary Conditions

• Fracture characterization of bonded composites: A comparative study

• QI full-field of view strain measurements in concrete/rock structures-precision and accuracy

• Robust finite difference method for singularly perturbed two-parameter parabolic convection-diffusion problems

• Deep learning of thermodynamics-aware reduced-order models from data

• Earthquake physics beyond the linear fracture mechanics: a discrete approach

• General model and the mechanics of concrete elements and structures deformation

• A data-driven approach to full-field damage and failure pattern prediction in microstructure-dependent composites using deep learning

• Earthquakes and Cracks of New Type Complementing the Griffith–Irwin’s Crack

• A model of solitary waves in a nonlinear elastic circular rod: Abundant different type exact solutions and conservation laws

• A Stochastic Theory of Scale-Structural Fatigue and Structure Durability at Operational Loading

• Free vibration analysis of a porous rotor integrated with regular patterns of circumferentially distributed functionally graded piezoelectric patches on inner and outer …

• Stress intensity factors and T-stresses by boundary integral equations: 3D statics

• Case Study for Thermo Mechanical Performance of an Integrated Optic Device via Equation-Based Modelling

• An efficient and locking‐free material point method for three‐dimensional analysis with simplex elements

• Nonlinear stress analysis of shell structures in buckling and snapping problems by exact geometry solid-shell elements through sampling surfaces formulation

• Channeling Force in the Brain: Mechanosensitive Ion Channels Choreograph Mechanics and Malignancies

• A finite similitude approach to scaled impact mechanics

• Two-grid method on unstructured tetrahedra: Applying computational geometry to staggered solution of coupled flow and mechanics problems

• Experimental and finite element simulated box compression tests on paperboard packages at different moisture levels

• Influence of pore-size distributions and pore-wall mechanics on the mechanical behavior of cellular solids like aerogels

• Numerical Investigation of the Effect of Shell Material and Thickness on the Mechanics of Motorcycle Helmets Impact

• Unsupervised Learning of Numerical Solutions in a Linear Elastic Solver

• A stable node-based smoothed PFEM for solving geotechnical large deformation 2D problems

• An efficient hierarchical data searching scheme for data-driven computational mechanics

• Bending and buckling behaviors of heterogeneous temperature-dependent micro annular/circular porous sandwich plates integrated by FGPEM nano-Composite …

• Dynamic Response of Bi-Directional Functionally Graded Materials (BDFGMs) Beams Rested on Visco-Pasternak Foundation Under Periodic Axial Force

• Finite Element Analysis: Method, Verification and Validation

• A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics

• Classical and multi-level constitutive models for describing the behavior of metals and alloys: Problems and Prospects (as a matter for discussion)

• Mitigation of thermal curling of concrete slab using phase change material: A feasibility study

• Sciann: A keras/tensorflow wrapper for scientific computations and physics-informed deep learning using artificial neural networks

• Physics-Informed Deep Learning for Computational Elastodynamics without Labeled Data

• Geometry and mechanics of disclination lines in 3D nematic liquid crystals

• Modeling multiphase flow within and around deformable porous materials: A darcy-brinkman-biot approach

• Modified single variable shear deformation plate theory for free vibration analysis of rectangular FGM plates

• Application Of Venn Diagrams In Lectures On Theoretical Mechanics

• Memory response on thermoelastic deformation in a solid half-space with a cylindrical hole

• Regional Subsidence Analysis Through a Multi‐Scale Modeling Framework Based on Breakage Mechanics

• Entropy dynamics approach to fractional order mechanics with applications to elastomers

• The strain-smoothed 4-node quadrilateral finite element

• Application of discrete mechanics model to jump conditions in two-phase flows

• Multidimensional coupling: A variationally consistent approach to fiber-reinforced materials

• Comment on the paper “Wall effects for spherical particle in confined shear-thickening fluids, Shuai Tian, Journal of Non-Newtonian Fluid Mechanics 257 (2018) 13 …

• Supporting Information for” Embedded Microbubbles for Acoustic Manipulation of Single Cells and Microfluidic Applications”

• Smoothed particle hydrodynamics (SPH) and its applications in geomechanics: From solid fracture to granular behaviour and multiphase flows in porous media

• Constitutive sensitivity to the gradient of plastic deformation in the mechanics of crystalline solids

• A new stabilization scenario for Timoshenko systems with thermo-diffusion effects in second spectrum perspective

• Collective behavior in the kinetics and equilibrium of solid-state photoreaction

• Damage evolution analysis and gas–solid coupling model for coal containing gas

• Mechanical reliability of flexible encapsulation of III-V compound thin film solar cells

• Mechanics, Ionics, and Optics of Metal–Organic Framework and Coordination Polymer Glasses

• Rattlesnake: A MOOSE-Based Multiphysics Multischeme Radiation Transport Application

• From solid to disconnected state and back: Continuum modelling of granular flows using material point method

• A unified framework for the computational comparison of adaptive mesh refinement strategies for all-quadrilateral and all-hexahedral meshes: locally adaptive …

• Mechanics of Metal Removal in Abrasive Jet Machining

• A simple artificial damping method for total Lagrangian smoothed particle hydrodynamics

• Towards improved speed and accuracy of laser powder bed fusion simulations via representation of multiple time scales

• Laser Ultrasonic inspection of a Wire+ Arc Additive Manufactured (WAAM) sample with artificial defects

• Functionally graded thick sandwich beams with porous core: Buckling analysis via differential transform method

• Computational Tools for the Investigation of the Male Lower Urinary Tract Functionality in Health and Disease

• Shape Retaining and Sacrificial Molding Fabrication Method for ECM-Based in vitro Vascular Model

• Numerical analysis of concrete fracture under shock wave loading

• On the fractal variational principle for the Telegraph equation

• The magnetic field on a nanofluid flow within a finned cavity containing solid particles

• Phase-field model for brittle fracture based on the inner-element edge-based smoothed finite method (IES-FEM)

• Metastasis: crosstalk between tissue mechanics and tumour cell plasticity

• A computational toolbox for molecular property prediction based on quantum mechanics and quantitative structure-property relationship

• Remarks on Dealing With Toughness Heterogeneity in Modelling of Hydraulic Fracture

• Microstructural investigation of plasma sprayed ceramic coatings focusing on the effect of the splat boundary for SOFC sealing applications using peridynamics

• Meso-scale damage mechanics modeling for high cycle fatigue behavior of additively manufactured components

• Juxtaposing fresh material characterisation methods for buildability assessment of 3D printable cementitious mortars

• Fluid–structure interaction analyses of biological systems using smoothed-particle hydrodynamics

• Heterogeneities and material-scales providing physically-based damping to replace Rayleigh damping for any structure size

• TubeNet: A special TrumpetNet for explicit solutions to inverse problems

• Effect of Atangana–Baleanu fractional derivative on a two-dimensional thermoviscoelastic problem for solid sphere under axisymmetric distribution

• Bending and free vibration analyses of functionally graded material nanoplates via a novel nonlocal single variable shear deformation plate theory

• A linear-elasticity-based mesh moving method with no cycle-to-cycle accumulated distortion

• The Roles of Mechanics Courses in Student-Centered Civil Engineering Education

• Use of a micromechanical approach to understand the mechanical behavior of solid propellants

• Response of a Layered Composite Beam Subjected to Static Loading Using Point Interpolation Meshless Technique

• Spatial Variation of Thermokinetics and Associated Microstructural Evolution in Laser Surface Engineered IN718: Precursor to Additive Manufacturing

• Porous and cracked rocks elasticity: Macroscopic poroelasticity and effective media theory

• Modeling of the Split-Hopkinson-Pressure-Bar experiment with the explicit material point method

• A hybrid-Trefftz finite element platform for solid and porous elastodynamics

• A new discrete element-embedded finite element method for transient deformation, movement and heat transfer in packed bed

• Combination effects of flow field structure and assembly force on performance of high temperature proton exchange membrane fuel cells

• Molecular Dynamics Study of the Interface Effect on the Fracture of a Heterostructure under Uniaxial Tension

• Elastica: A compliant mechanics environment for soft robotic control

• On the finite element modeling of a particular shallow foundation system for soft soil

• Computer modeling to forecast accurate of efficiency parameters of different size of graphene platelet, carbon, and boron nitride nanotubes: A molecular dynamics …

• Virtual transcriptomics: noninvasive phenotyping of atherosclerosis by decoding plaque biology from computed tomography angiography imaging

• A unified framework for computational microstructure-based snow mechanics

• Endochronic model of nonlinear deformation of high temperature fabric reinforced composite

• Motion of a Solid Sphere Launched Vertically Upward in Water and Deformation of Water Surface by the Sphere

• Dynamics for droplet-based electricity generators

• Experimentral study on seimeic performance for an innovative self-centering sma brace

• Analysis and Synthesis of Compliant Parallel Mechanisms–screw Theory Approach

• Simulation and analysis of P (VDF-TrFE) cantilever-beams for low frequency applications

• Collocation method for solving nonlinear fractional optimal control problems by using Hermite scaling function with error estimates

• An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: Basic framework and general contact model

• Cahn–Hilliard phase field theory coupled to mechanics: Fundamentals, numerical implementation and application to topology optimization

• Strain Gradient Models for Growing Solid Bodies

• Accurate stress analysis of laminated composite and sandwich plates

• Mechanics of development

• Challenges for and pathways toward Li-metal-based all-solid-state batteries

• Unearthing real-time 3D ant tunneling mechanics

• Multiscale DIC applied to pantographic structures

• An overview on advances in computational fracture mechanics of rock

• Data-driven elastoplastic constitutive model for gradient structure materials

• Machine-learning-based prediction methods on shale gas recovery

• A Lagrangian/semi-Lagrangian coupling approach for accelerated meshfree modelling of extreme deformation problems

• On the thermodynamic consistency of Quasi-linear viscoelastic models for soft solids

• Development of a multiphysics model of synergistic effects between environmental exposure and damage in woven glass fiber reinforced polymeric composites

• A peridynamic Reissner‐Mindlin shell theory

• Experimental and numerical investigations on dynamic mechanical responses and failure process of gas-bearing coal under impact load

• Elastocapillary interactions of thermoresponsive microgels across the volume phase transition temperatures

• Thermo-mechanical simulation of ultrahigh temperature ceramic composites as alternative materials for gas turbine stator blades

• Higher order and scale-dependent micro-inertia effect on the longitudinal dispersion based on the modified couple stress theory

• Permeability prediction for porous sandstone using digital twin modeling technology and lattice Boltzmann method

• Quadratic B-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh

• History of finite element method: a review

• 4D Printing of Magnetoactive Soft Materials for On-Demand Magnetic Actuation Transformation

• Failure of a pre-cracked epoxy sandwich layer in shear

• Statistical mechanics study of the introduction of a vaccine against COVID-19 disease

• Large deformation and instability of soft hollow cylinder with surface effects

• Local hot charge density regulation: Vibration-free pyroelectric nanogenerator for effectively enhancing catalysis and in-situ surface enhanced Raman scattering …

• Comparison of peak wall stress and peak wall rupture index in ruptured and asymptomatic intact abdominal aortic aneurysms

• Strain energy release rate in combination with reinforcement isotropic solid model (SERIS): A new mixed-mode I/II criterion to investigate fracture behavior of …

• Determination of acrylic sheet fracture toughness using EWF approach

• A phase field numerical manifold method for crack propagation in quasi-brittle materials

• A quantitative approach to biomineralization and cement hydration, guided by (micro-) structural mechanics

• Thermoelastic Analysis of Annular Sector Plate Under Restricted Boundaries Amidst Elastic Reaction

• Effects of cluster expansion on the locations of phase transition boundary as a first step to quantify uncertainty in first principles statistical mechanics framework