Refine
Year of publication
Institute
- Fachbereich Medizintechnik und Technomathematik (78) (remove)
Has Fulltext
- yes (78) (remove)
Document Type
- Conference Proceeding (48)
- Article (27)
- Lecture (3)
Keywords
- Finite-Elemente-Methode (16)
- Einspielen <Werkstoff> (13)
- shakedown analysis (8)
- FEM (6)
- Clusterion (5)
- limit analysis (5)
- Air purification (4)
- Einspielanalyse (4)
- Hämoglobin (4)
- Limit analysis (4)
- Luftreiniger (4)
- Plasmacluster ion technology (4)
- Raumluft (4)
- Shakedown (4)
- Shakedown analysis (4)
- Technische Mechanik (4)
- Traglast (4)
- Traglastanalyse (4)
- shakedown (4)
- Kohlenstofffaser (3)
- Lipopolysaccharide (3)
- Sonde (3)
- lipopolysaccharides (3)
- ratchetting (3)
- Analytischer Zulaessigkeitsnachweis (2)
- Bruchmechanik (2)
- Druckbeanspruchung (2)
- Druckbehälter (2)
- Druckbelastung (2)
- Einspiel-Analyse (2)
- Eisschicht (2)
- Erythrozyt (2)
- Fehlerstellen (2)
- Fibroblast (2)
- Pflanzenphysiologie (2)
- Pflanzenscanner (2)
- Ratcheting (2)
- Rohr (2)
- Rohrbruch (2)
- Stahl (2)
- Stickstoffmonoxid (2)
- burst pressure (2)
- burst tests (2)
- celldrum technology (2)
- flaw (2)
- limit load (2)
- load limit (2)
- nanostructured carbonized plant parts (2)
- nanostrukturierte carbonisierte Pflanzenteile (2)
- nitric oxide gas (2)
- pipes (2)
- plant scanner (2)
- tension–torsion loading (2)
- vessels (2)
- Adsorption (1)
- Alternating plasticity (1)
- Analysis (1)
- Anastomose (1)
- Anastomosis (1)
- Arthosetherapie (1)
- Aufschlagversuch (1)
- Autofluoreszenzverfahren (1)
- Axialbelastung (1)
- Axially cracked pipe (1)
- Bacterial cellulose (1)
- Bakterien (1)
- Basis Reduktion (1)
- Basis reduction (1)
- Bicharakteristikenverfahren (1)
- Biomechanics (1)
- Biomechanik (1)
- Biomedizinische Technik (1)
- Bioreaktor (1)
- Blutzellenlagerung (1)
- Bone quality and biomechanics (1)
- Carbon sources (1)
- Cellulose nanostructure (1)
- Cement infiltration (1)
- Convex optimization (1)
- Cost-effectiveness (1)
- Culture media (1)
- Dattel (1)
- Deformation (1)
- Dekontamination (1)
- Design-by-analysis (1)
- Druckgeräte (1)
- ELISA (1)
- Einspiel-Kriterium (1)
- Einspielen (1)
- Elastizität (1)
- Elastodynamik (1)
- Elastostatics (1)
- Elektrodynamik (1)
- Endothelzelle (1)
- Environmental impact (1)
- Enzyme-linked immunosorbent assay (1)
- Epithel (1)
- Exact Ilyushin yield surface (1)
- Experiment (1)
- FEM-Programm (1)
- FEM-computation (1)
- Festkörper (1)
- Finite element method (1)
- First Order Reliabiblity Method (1)
- First-order reliability method (1)
- Fließgrenze (1)
- Fußball (1)
- Geriatric (1)
- Global and local collapse (1)
- Gonarthrose (1)
- Grenzwertberechnung (1)
- Harnleiter (1)
- Hemoglobin structure (1)
- Hip fractures (1)
- Hydrodynamik (1)
- Hydrogel (1)
- Hämoglobinstruktur (1)
- Kinematics (1)
- Kinetics (1)
- Kniegelenkarthrose (1)
- Knochen (1)
- Knochenbildung (1)
- Knochenchirugie (1)
- Knochendichte (1)
- Körpertemperatur (1)
- LISA (1)
- Lichtstreuungsbasierte Instrumente (1)
- MBST (1)
- Materialermüdung (1)
- Mechanics (1)
- Mechanische Beanspruchung (1)
- Medusomyces gisevi (1)
- Multi-dimensional wave propagation (1)
- Natriumhypochlorit (1)
- Nichtlineare Gleichung (1)
- Nichtlineare Optimierung (1)
- Nichtlineare Welle (1)
- Organkultur (1)
- Osteoporose (1)
- Osteoporosis (1)
- PFM (1)
- Permeability (1)
- Permeabilität (1)
- Peroxidase (1)
- Pflanzenstress (1)
- Plastizität (1)
- Pressure loaded crack-face (1)
- Prevention (1)
- Progressive plastic deformation (1)
- Prophylaxis (1)
- Proteine (1)
- Random variable (1)
- Ratchetting (1)
- Red blood cell storage (1)
- Schienbeinschoner (1)
- Schwammknochen (1)
- Sensitivity (1)
- Sepsis (1)
- Shakedown criterion (1)
- Skeletal muscle (1)
- Small Aral Sea (1)
- Statics (1)
- Strukturanalyse (1)
- Temperaturabhängigkeit (1)
- Tendons (1)
- Tissue Engineering (1)
- Torsion (1)
- Torsionsbelastung (1)
- Tragfähigkeit (1)
- Ultrasound (1)
- Vertebroplastie (1)
- Vertebroplasty (1)
- Viscous flow (1)
- Viskose Strömung (1)
- Viskosität (1)
- Wasserbrücke (1)
- Wasserstoffperoxid (1)
- Wellen (1)
- Wolff's Law (1)
- Wolffsches Gesetz (1)
- Wundheilung (1)
- Zug-Druck Belastung (1)
- Zug-Druck-Beanspruchung (1)
- Zug-Druck-Belastung (1)
- activated nanostructured carbon (1)
- aktivierte nanostrukturierte Kohlenstofffaser (1)
- alternierend Verformbarkeit (1)
- aromatic amines (1)
- arthrosis therapy (1)
- autofluorescence-based detection system (1)
- bicharacteristics (1)
- bone density (1)
- bone structure (1)
- cancellous bone (1)
- carbonized rice husk (1)
- contractile tension (1)
- cytosolic water diffusion (1)
- date palm tree (1)
- design-by-analysis (1)
- direct method (1)
- ecological structure (1)
- elastic solids (1)
- epithelization (1)
- fatigue analyses (1)
- finite element analysis (1)
- fortschreitende plastische Deformation (1)
- gonarthrosis (1)
- hemoglobin (1)
- hemoglobin dynamics (1)
- human dermal fibroblasts (1)
- hydrogel (1)
- kontraktile Spannung (1)
- konvexe Optimierung (1)
- light scattering analysis (1)
- limit and shakedown analysis (1)
- linear kinematic hardening (1)
- load carrying capacity (1)
- lower bound theorem (1)
- material shakedown (1)
- mechanical waves (1)
- metagenomics (1)
- microbial diversity (1)
- naphtols (1)
- nonlinear kinematic hardening (1)
- nonlinear optimization (1)
- nonlinear solids (1)
- nonlinear tensor constitutive equation (1)
- phenols (1)
- plant stress (1)
- plasma generated ions (1)
- plastic deformation (1)
- probabilistic fracture mechanics (1)
- protein (1)
- reliability (1)
- reliability analysis (1)
- rhAPC (1)
- second-order reliability method (1)
- shakedown analyses (1)
- shotgun sequencing (1)
- subsurface ice research (1)
- subsurface probe (1)
- thermal ratcheting (1)
- water bridge phenomenon (1)
- wound healing (1)
- yield stress (1)
The nonlinear scalar constitutive equations of gases lead to a change in sound speed from point to point as would be found in linear inhomogeneous (and time dependent) media. The nonlinear tensor constitutive equations of solids introduce the additional local effect of solution dependent anisotropy. The speed of a wave passing through a point changes with propagation direction and its rays are inclined to the front. It is an open question whether the widely used operator splitting techniques achieve a dimensional splitting with physically reasonable results for these multi-dimensional problems. May be this is the main reason why the theoretical and numerical investigations of multi-dimensional wave propagation in nonlinear solids are so far behind gas dynamics. We hope to promote the subject a little by a discussion of some fundamental aspects of the solution of the equations of nonlinear elastodynamics. We use methods of characteristics because they only integrate mathematically exact equations which have a direct physical interpretation.
Shock waves, explosions, impacts or cavitation bubble collapses may generate stress waves in solids causing cracks or unexpected dammage due to focussing, physical nonlinearity or interaction with existing cracks. There is a growing interest in wave propagation, which poses many novel problems to experimentalists and theorists.
The propagation of mechanical waves in plates of isotropic elastic material is investigated. After a short introduction to the understanding of focussing of stress waves in a plate with a curved boundary the method of characteristics is applied to a plate of hyperelastic material. Using this method the propagation of acceleration waves is discussed. Based on this a numerical difference scheme is developed for solving initial-boundary-value problems and applied to two examples: propagation of a point disturbance in a homogeneously finitely strained non-linear elastic plate and geometrical focussing in al linear elastic plate.