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Continuum mechanics
About: Continuum mechanics is a research topic. Over the lifetime, 5042 publications have been published within this topic receiving 181027 citations.
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01 Dec 1992
TL;DR: In this paper, the effect of high dynamic pressure on the acceleration and deformation of the velocity of a single wave in a single-dimensional model of a solid body is investigated.
Abstract: MECHANICS OF CONTINUOUS MEDIA Stresses and Strains in a Solid Body Equations of One-Dimensional Motion of Compressible Media, Shock Waves Interpretation of Detection Data on Compression and Rarefaction Waves EXPERIMENTAL TECHNIQUES OF THE PHYSICS OF HIGH DYNAMIC PRESSURE Explosive Generation of Dynamic Pressure Ballistic Experiments with a Shock Wave Promising Sources of High Dynamic Pressure Discrete Measurement of Wave and Mass Velocities Pressure Profiles Recorded with Manganin Sensors Measurement of the Velocity of Matter ELASTOPLASTIC PROPERTIES OF SHOCK-LOADED SOLIDS Basic Relationships and Models Moduli of Elasticity and the Velocity of Sound in Shock Compressed Metals Dynamic Yield Point Structure of Plastic Compression Waves Compression and Rarefaction Waves in Shock-Compressed Metals Compaction of Porous Media in Shock Waves Catastrophic Thermoplastic Shear under Dynamic Deformation. Impact Compression of Brittle Materials Methods of Studying High Dynamic Deformations Microscopic Models of Strain Dynamics EVOLUTION OF LOAD PULSES IN MEDIA WITH POLYMORPHIC PHASE TRANSITIONS The Structure of Compression and Release Waves in Iron The Graphite to Diamond Transition under Shock Compression Properties of the Phase Transition Induced by Shock FRACTURE UNDER PULSED LOADING. SPALLING STRENGTH Dynamics of Wave Interactions During Spalling Spalling Strength of Metals Work of Spalling Fracture Determination if Tensile Stress Behind the Spall Plane Resistance of Polymers, Brittle Materials, and Liquids to Spalling Fracture Mechanism and Kinetics of Dynamic Fracture of Metals SHOCK AND DETONATION WAVES IN SOLID EXPLOSIVES Basic Concepts and Models Kinetics of Dissociation of Explosives Deduced from Analyses of Evolution of Shock Waves Semiempirical Macrokinetic Equations of Solid Explosives MODEL EQUATIONS OF STATE FOR A WIDE RANGE OF PRESSURE AND TEMPERATURE General Analysis of Phase Diagram Quasi-Harmonic Model of a Solid Equation of State for Condensed Phase at High Temperatures Evaporation Effects and Generalized Equations of State Tabulated and Approximate Equations of States GENERALIZED EQUATIONS OF STATE FOR METALS Cold Compression Curve Electron Component Thermal Excitation of the Crystal Lattice Liquid Phase Procedure for Constructing Semiempirical Equations of State for Metals THERMODYNAMIC PROPERTIES OF METALS Aluminum Copper Lead Lithium FURTHER BRIEF NOTES ON CONTINUUM MECHANICS Equation of Motion Shock Waves Characteristic Form of Gas-Dynamic Equations. Simple Waves The Structure of a Shock Wave Decay of a Random Discontinuity in Hydrodynamics Equation of Motion for Porous Condensed Media DYNAMICS OF CONDENSED MEDIA WITH ALLOWANCE FOR THEIR STRENGTH Equations of Motion. Divergence Form Characteristics Form on Equations of Motion Simple Waves Shock Waves in a Hyperelastic Medium Decay of an Arbitrary Discontinuity Equations of Motion for a Hyperelastic Medium in an Arbitrary Curvilinear Set of Coordinates Equations of Motion of a Maxwell Viscoelastic Medium Nonlinear Waves in a Viscoelastic Medium BRIEF REVIEW OF COMPUTATIONAL TECHNIQUES FOR THE DYNAMICS OF CONDENSED MEDIA Method of Particles in Cells Method of Large Particles Godunov's Method Lagrangian Methods NUMERICAL MODELING OF CONDENSED MEDIA UNDER INTENSIVE PULSED LOADING Tabulated Form of the Equation of State High-Speed Collisions Irregular Collisions of Strong Shock Waves in Metals Numerical Modeling of the Effect of Relativistic High-Current and High-Energy Ion Beams on Metal Targets Effect of an Explosion on an Iron Plate Impactor Penetration of an Obstacle of Finite Thickness Impact of a Micrometerorite on a Spacecraft Shield References Index
183 citations
01 Jan 1983
TL;DR: In this article, the shape of two- or three-dimensional elastic bodies plays the role of design and five prototype problems are formulated in a unified variational form, with performance measures involving natural frequency, displacement, and stress in the structure.
Abstract: Design problems in which the shape of two- or three-dimensional elastic bodies plays the role of design are studied. Five prototype problems are formulated in a unified variational form, with performance measures involving natural frequency, displacement, and stress in the structure. The material derivative of continuum mechanics and an adjoint variable method of design sensitivity analysis are used to develop an explicit formula for variation of performance measures in terms of normal movement of the boundary of the physical domain. Examples are presented for beams, membranes, shafts, and three-dimensional elastic solids.
183 citations
TL;DR: A finite-element model based on nonlinear continuum mechanics an algorithm is proposed that includes the contractile active and passive properties of skeletal muscle that allows simulations of muscle recruitment, calculations of stress and strain distributions and predictions of muscle shape.
183 citations
TL;DR: A simple and exact theory of the statistical mechanics of linear-elastic polymer chains that can undergo a kinking transition is developed and it is shown that the resulting theory reproduces both the low-curvature linear-Elastic behavior which is already well described by the worm-like chain model, as well as the high-Curvature softening observed in recent cyclization experiments.
Abstract: The importance of nonlinearities in material constitutive relations has long been appreciated in the continuum mechanics of macroscopic rods. Although the moment (torque) response to bending is almost universally linear for small deflection angles, many rod systems exhibit a high-curvature softening. The signature behavior of these rod systems is a kinking transition in which the bending is localized. Recent DNA cyclization experiments by Cloutier and Widom have offered evidence that the linear-elastic bending theory fails to describe the high-curvature mechanics of DNA. Motivated by this recent experimental work, we develop a simple and exact theory of the statistical mechanics of linear-elastic polymer chains that can undergo a kinking transition. We characterize the kinking behavior with a single parameter and show that the resulting theory reproduces both the low-curvature linear-elastic behavior which is already well described by the wormlike chain model, as well as the high-curvature softening observed in recent cyclization experiments.
182 citations
TL;DR: In this paper, the conservation laws of nonlocal continuum mechanics are derived from the conservation of energy and the invariance conditions under superposed rigid body motions, and the theory of non-local thermoelasticity is reconsidered in the light of recent developments in thermodynamics.
Abstract: : It is shown in this paper that the conservation laws of nonlocal continuum mechanics are equivalent to, and can be derived from, the conservation of energy and the invariance conditions under superposed rigid body motions. Also, the theory of nonlocal thermoelasticity is reconsidered in the light of recent developments in thermodynamics, taking invariance conditions fully into account. (Author)
182 citations