A simulation of the effects of high strain energy storage in large plastic structures

1987 ◽  
Vol 27 (13) ◽  
pp. 1006-1014 ◽  
Author(s):  
V. L. Groshans ◽  
M. T. Takemori
2018 ◽  
Vol 3 (1) ◽  
pp. 284-288
Author(s):  
Bingxiao Zheng ◽  
Yanqiang Zhang ◽  
Zejun Zhang ◽  
Long Liu ◽  
Shengli Chen ◽  
...  

1992 ◽  
Vol 70 (12) ◽  
pp. 2967-2971 ◽  
Author(s):  
Michel Zoghbi ◽  
John Warkentin

Δ3-1,3,4-Oxadiazolines (1) that share their C2 with C4 of a β-lactam ring in a spiro fusion were prepared. The structures were established through single crystal X-ray diffraction of 1a and by infrared, 1H, and 13C nuclear magnetic resonance spectroscopies. Thermolysis of 1 at 100 °C, in benzene containing dimethyl acetylenedicarboxylate, afforded spiro-fused β-lactam cyclopropene 12 in 33% yield. Similar thermolysis of 1b in the presence of ethyl phenylpropiolate gave spiro-fused β-lactam cyclopropene 13 (32%). The molecular structure of 12, determined by single crystal X-ray diffraction, has the two ester carbonyl carbons out of the plane of the cyclopropene ring by about 0.17 Ǻ, indicating substantial nonbonded steric interactions and suggesting unusually high strain energy. At 154.5 °C, 12 underwent isomerization to 19, presumably through a vinyl carbene intermediate.


1985 ◽  
Vol 22 (1) ◽  
pp. 126-132 ◽  
Author(s):  
Cecilio J. Rebollar

Seismic data collected from the Ensenada Bay earthquake swarm of late 1981 were used to calculate the spectra of ground displacement. Data from the stations of Ensenada (ENX) and Cerro Bola (CBX), at epicentral distances of 14 and 57 km, respectively, were used to evaluate source parameters. The focal depths determined for these events were less than 10 km. The focal mechanism was a strike-slip fault type, with the plane of motion striking N52°W, parallel to the Agua Blanca Fault. Seismic moments ranging from 3.44 × 1019 to 5.99 × 1020 dyn∙cm (3.44 × 1014 to 5.99 × 1015 N∙cm) were estimated for events with local magnitudes in the range 1.7–2.3. The source dimensions were found to be 186 ± 36 m and the stress drops between 3 and 66 bar (0.3 and 6.6 MPa), comparable to results obtained in previous studies of shallow events (depths <10 km). The Ensenada swarm could be attributed to a localized zone of high-strain energy at the intersection of two faults. Ratios of P to S corner frequencies were evident for only five events; they were 1.39 ± 0.38. Magnitude and seismic moment from other studies were compared with the Ensenada data in the range of magnitudes 0–3. All the data can be accommodated by log M0 = 1.5 ML + (16.9 ± 1.1). The Ensenada earthquake swarm and the Victoria earthquake swarm, which occurred in the Mexicali valley in 1978, have similar source radii and corner frequencies for the same range of seismic moments.


1999 ◽  
Vol 121 (6) ◽  
pp. 622-628 ◽  
Author(s):  
D. L. Kopperdahl ◽  
A. D. Roberts ◽  
T. M. Keaveny

It was hypothesized that damage to bone tissue would be most detrimental to the structural integrity of the vertebral body if it occurred in regions with high strain energy density, and not necessarily in regions of high or low trabecular bone apparent density, or in a particular anatomic location. The reduction in stiffness due to localized damage was computed in 16 finite element models of 10-mm-thick human vertebral sections. Statistical analyses were performed to determine which characteristic at the damage location — strain energy density, apparent density, or anatomic location — best predicted the corresponding stiffness reduction. There was a strong positive correlation between regional strain energy density and structural stiffness reduction in all 16 vertebral sections for damage in the trabecular centrum (p < 0.05, r2 = 0.43–0.93). By contrast, regional apparent density showed a significant negative correlation to stiffness reduction in only four of the sixteen bones (p < 0.05, r2 = 0.47 – 0.58). While damage in different anatomic locations did lead to different reductions in stiffness (p < 0.0001, ANOVA), no single location was consistently the most critical location for damage. Thus, knowledge of the characteristics of bone that determine strain energy density distributions can provide an understanding of how damage reduces whole bone mechanical properties. A patient-specific finite element model displaying a map of strain energy density can help optimize surgical planning and reinforcement of bone in individuals with high fracture risk.


2012 ◽  
Vol 9 (76) ◽  
pp. 3108-3117 ◽  
Author(s):  
Chavaunne T. Thorpe ◽  
Chineye P. Udeze ◽  
Helen L. Birch ◽  
Peter D. Clegg ◽  
Hazel R. C. Screen

Tendons transfer force from muscle to bone. Specific tendons, including the equine superficial digital flexor tendon (SDFT), also store and return energy. For efficient function, energy-storing tendons need to be more extensible than positional tendons such as the common digital extensor tendon (CDET), and when tested in vitro have a lower modulus and failure stress, but a higher failure strain. It is not known how differences in matrix organization contribute to distinct mechanical properties in functionally different tendons. We investigated the properties of whole tendons, tendon fascicles and the fascicular interface in the high-strain energy-storing SDFT and low-strain positional CDET. Fascicles failed at lower stresses and strains than tendons. The SDFT was more extensible than the CDET, but SDFT fascicles failed at lower strains than CDET fascicles, resulting in large differences between tendon and fascicle failure strain in the SDFT. At physiological loads, the stiffness at the fascicular interface was lower in the SDFT samples, enabling a greater fascicle sliding that could account for differences in tendon and fascicle failure strain. Sliding between fascicles prior to fascicle extension in the SDFT may allow the large extensions required in energy-storing tendons while protecting fascicles from damage.


Author(s):  
Barney E. Klamecki ◽  
Ryan B. Sefkow ◽  
Nicholas J. Maciejewski

The use of material design to overcome time-dependent material deformation resulting in loss of sealing effectiveness of elastomeric seals was considered. O-ring sections with different stress-strain behavior in different regions of the section were studied. Experimentally validated finite element models were used to characterize the strain energy density distribution and seal-housing contact pressure for various section designs. The design rules extracted from experimental and numerical studies indicate that o-ring sections with lower elastic modulus, softening material located at regions of high strain energy will result in slower growth of permanent seal deformation and so improved seal performance over time. O-ring sections based on this material design were evaluated numerically and improved seal life predicted.


1959 ◽  
Vol 49 (2) ◽  
pp. 199-204
Author(s):  
M. L. Williams

abstract In order to investigate some problems of geophysical interest, the usual consideration of symmetrical or antisymmetrical loading of an isotropic homogeneous plate containing a crack was extended to the case where the alignment of the crack separates two separate isotropic homogeneous regions. It develops that the modulus of the singular behavior of the stress remains proportional to the inverse square root of the distance from the point of the crack, but the stresses possess a sharp oscillatory character of the type r−12 sin (b log r), which seems to be confined quite close to the point, as well as a shear stress along the material joint line as long as the materials are different. The off-fault areas of high strain energy release reported by St. Amand for the White Wolf fault are qualitatively shown to be expected.


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