REVIEW 3 cited by
The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
The introduction of the quadratic Hencky strain energy based on the logarithmic strain tensor log V is a milestone in the development of nonlinear elasticity theory in the first half of the 20th century. Since the original manuscripts are written in German, they are not easily accessible today. However, we believe that the deductive approach taken by Hencky deserves to be rediscovered today. In this work we have gathered parts of the original contributions "\"Uber die Form des Elastizit\"atsgesetzes bei ideal elastischen Stoffen", "Welche Umst\"ande bedingen die Verfestigung bei der bildsamen Verformung von festen isotropen K\"orpern?" and "Das Superpositionsgesetz eines endlich deformierten relaxationsf\"ahigen elastischen Kontinuums und seine Bedeutung f\"ur eine exakte Ableitung der Gleichungen f\"ur die z\"ahe Fl\"ussigkeit in der Eulerschen Form" which center around this deductive approach. We tried to provide, for the first time, a faithful translation into English. All footnotes are our addition.
Forward citations
Cited by 3 Pith papers
-
Nonlinear Cauchy Elasticity
Non-hyperelastic Cauchy elastic solids are classified through Darboux normal forms of the stress-work 1-form, giving up to six generalized energy functions in general, three for compressible isotropic solids, and two ...
-
On the statistical physics and thermodynamics of polymer networks: a Eulerian theory for entropic elasticity
A maximum-entropy treatment of polymer segments yields a two-parameter hyperelastic model with explicit chain orientation probabilities and a predicted equal-biaxial instability.
-
The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity
The corotational stability postulate implies that all standard incremental Cauchy stress moduli (Young, equibiaxial, planar tension, bulk) are positive in diagonal homogeneous deformations of isotropic hyperelastic materials.
Discussion (0). Continue with ORCID to comment.