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Before

Clay deposits subjected to desiccation develop intensive cracking that go to important depths below ground surface. Arizona, Mexico city and Bogota city deep soil cracking. [Author] et al (2003) reports afect a flat area of 90000ha, located in a zone characterized by high seismic hazard. hundreds of kilometers of roadways and hundreds of small buildings have been severely damaged or collapsed. Figure 3 shows some characteristics of these problems…

After

Clay deposits subjected to desiccation develop intensive cracking that extends far below the surface. Arizona, Mexico city and Bogota are examples of areas particularly affected by such deep cracking. [Author] et al. (2003) found intensive, deep cracking in the Bogota clay deposit, which covers a flat area of 90000ha, located in a zone with a high degree of seismic activity. Hundreds of kilometers of roadways and hundreds of small buildings in this area have been severely damaged or have collapsed as a result of deep cracking caused by desiccation. Figure 3 shows some characteristics of such problems…

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Before

Differential equations have been widely used by the researchers for the theoretical solution of many problems related to physics. Those problems can be related to the distribution of stresses, hydraulic flow, heat transfer, wave propagation, etc. The differential equations can be solved relatively easy using common mathematics when they are applied to one dimensional problems (for example the one-dimensional water flow in the permeameter). However, the solution of differential equations becomes very difficult when they are applied to solve bi-dimensional problems that have different boundary conditions.

After

Differential equations have been widely used by researchers for theoretical solution to many problems related to physics. These problems can be related to the distribution of stresses, hydraulic flow, heat transfer, wave propagation, etc. Differential equations can be solved relatively easy using common mathematics when they are applied to one-dimensional problems (e.g., the one-dimensional water flow in a permeameter). However, the solution of differential equations becomes very difficult when they are applied to solve bi-dimensional problems that have different boundary conditions.